461355840 has 168 divisors, whose sum is σ = 1731251808. Its totient is φ = 111836160.

The previous prime is 461355833. The next prime is 461355841. The reversal of 461355840 is 48553164.

It is a happy number.

461355840 is a `hidden beast` number, since 4 + 61 + 3 + 558 + 40 = 666.

It is a super-2 number, since 2×461355840² = 425698422204211200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 461355795 and 461355804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461355841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24399 + ... + 38961.

Almost surely, 2^461355840 is an apocalyptic number.

461355840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865625904).

461355840 is an abundant number, since it is smaller than the sum of its proper divisors (1269895968).

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

461355840 is a wasteful number, since it uses less digits than its factorization.

461355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 461355840 is about 21479.1955156612. The cubic root of 461355840 is about 772.7019486469.

The spelling of 461355840 in words is "four hundred sixty-one million, three hundred fifty-five thousand, eight hundred forty".