461763456 has 384 divisors, whose sum is σ = 1640943360. Its totient is φ = 113541120.

The previous prime is 461763451. The next prime is 461763461. The reversal of 461763456 is 654367164.

It is an interprime number because it is at equal distance from previous prime (461763451) and next prime (461763461).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (362880) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461763451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4760400 + ... + 4760496.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2^461763456 is an apocalyptic number.

461763456 is a gapful number since it is divisible by the number (46) 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 461763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820471680).

461763456 is an abundant number, since it is smaller than the sum of its proper divisors (1179179904).

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

461763456 is a wasteful number, since it uses less digits than its factorization.

461763456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 461763456 is about 21488.6820442762. The cubic root of 461763456 is about 772.9294469150.

The spelling of 461763456 in words is "four hundred sixty-one million, seven hundred sixty-three thousand, four hundred fifty-six".