461028400 has 60 divisors (see below), whose sum is σ = 1265859952. Its totient is φ = 158065920.

The previous prime is 461028391. The next prime is 461028401. The reversal of 461028400 is 4820164.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (461028401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79527 + ... + 85126.

Almost surely, 2^461028400 is an apocalyptic number.

461028400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461028400 is an abundant number, since it is smaller than the sum of its proper divisors (804831552).

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

461028400 is a wasteful number, since it uses less digits than its factorization.

461028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164678 (or 164667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 461028400 is about 21471.5719033330. The cubic root of 461028400 is about 772.5191010592.

Adding to 461028400 its reverse (4820164), we get a palindrome (465848564).

The spelling of 461028400 in words is "four hundred sixty-one million, twenty-eight thousand, four hundred".