461157400 has 96 divisors (see below), whose sum is σ = 1182268080. Its totient is φ = 165888000.

The previous prime is 461157353. The next prime is 461157401. The reversal of 461157400 is 4751164.

It is a super-2 number, since 2×461157400² = 425332295149520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461157401) 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, 212320 + ... + 214480.

Almost surely, 2^461157400 is an apocalyptic number.

461157400 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 461157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591134040).

461157400 is an abundant number, since it is smaller than the sum of its proper divisors (721110680).

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

461157400 is a wasteful number, since it uses less digits than its factorization.

461157400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 461157400 is about 21474.5756651907. The cubic root of 461157400 is about 772.5911469973.

The spelling of 461157400 in words is "four hundred sixty-one million, one hundred fifty-seven thousand, four hundred".