461496960 has 256 divisors, whose sum is σ = 1731715200. Its totient is φ = 115752960.

The previous prime is 461496929. The next prime is 461496983. The reversal of 461496960 is 69694164.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292975 + ... + 294545.

Almost surely, 2^461496960 is an apocalyptic number.

461496960 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 461496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865857600).

461496960 is an abundant number, since it is smaller than the sum of its proper divisors (1270218240).

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

461496960 is a wasteful number, since it uses less digits than its factorization.

461496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 461496960 is about 21482.4803037266. The cubic root of 461496960 is about 772.7807255715.

It can be divided in two parts, 4 and 61496960, that added together give a square (61496964 = 7842²).

The spelling of 461496960 in words is "four hundred sixty-one million, four hundred ninety-six thousand, nine hundred sixty".