461175400 has 192 divisors, whose sum is σ = 1306166400. Its totient is φ = 148055040.

The previous prime is 461175397. The next prime is 461175409. The reversal of 461175400 is 4571164.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (461175409) 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, 1502047 + ... + 1502353.

It is an arithmetic number, because the mean of its divisors is an integer number (6802950).

Almost surely, 2^461175400 is an apocalyptic number.

461175400 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 461175400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653083200).

461175400 is an abundant number, since it is smaller than the sum of its proper divisors (844991000).

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

461175400 is a wasteful number, since it uses less digits than its factorization.

461175400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

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

The square root of 461175400 is about 21474.9947613498. The cubic root of 461175400 is about 772.6011988507.

The spelling of 461175400 in words is "four hundred sixty-one million, one hundred seventy-five thousand, four hundred".