465605400 has 96 divisors (see below), whose sum is σ = 1554431760. Its totient is φ = 114608640.

The previous prime is 465605383. The next prime is 465605407. The reversal of 465605400 is 4506564.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465605407) 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, 22047 + ... + 37646.

Almost surely, 2^465605400 is an apocalyptic number.

465605400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465605400 is an abundant number, since it is smaller than the sum of its proper divisors (1088826360).

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

465605400 is a wasteful number, since it uses less digits than its factorization.

465605400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59725 (or 59716 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465605400 is about 21577.8914632547. The cubic root of 465605400 is about 775.0671603262.

The spelling of 465605400 in words is "four hundred sixty-five million, six hundred five thousand, four hundred".