461264544 has 216 divisors, whose sum is σ = 1475559540. Its totient is φ = 141927552.

The previous prime is 461264543. The next prime is 461264567. The reversal of 461264544 is 445462164.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

461264544 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 645 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 317552400 = 11988^2 + 17820^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (92160) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 461264499 and 461264508.

It is not an unprimeable number, because it can be changed into a prime (461264543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35481882 + ... + 35481894.

Almost surely, 2^461264544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461264544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737779770).

461264544 is an abundant number, since it is smaller than the sum of its proper divisors (1014294996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461264544 is an frugal number, since it uses more digits than its factorization.

461264544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 18 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 461264544 is about 21477.0701912528. The cubic root of 461264544 is about 772.6509762413.

461264544 divided by its sum of digits (36) gives a cube (12812904 = 234³).

The spelling of 461264544 in words is "four hundred sixty-one million, two hundred sixty-four thousand, five hundred forty-four".