461753600 has 216 divisors, whose sum is σ = 1426450368. Its totient is φ = 143769600.

The previous prime is 461753597. The next prime is 461753623. The reversal of 461753600 is 6357164.

It is a super-2 number, since 2×461753600² = 426432774225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492332 + ... + 493268.

Almost surely, 2^461753600 is an apocalyptic number.

461753600 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 461753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713225184).

461753600 is an abundant number, since it is smaller than the sum of its proper divisors (964696768).

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

461753600 is a wasteful number, since it uses less digits than its factorization.

461753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 461753600 is about 21488.4527130271. The cubic root of 461753600 is about 772.9239476731.

The spelling of 461753600 in words is "four hundred sixty-one million, seven hundred fifty-three thousand, six hundred".