465105400 has 48 divisors (see below), whose sum is σ = 1116267840. Its totient is φ = 180038400.

The previous prime is 465105391. The next prime is 465105439. The reversal of 465105400 is 4501564.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31309 + ... + 43708.

It is an arithmetic number, because the mean of its divisors is an integer number (23255580).

Almost surely, 2^465105400 is an apocalyptic number.

465105400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465105400 is an abundant number, since it is smaller than the sum of its proper divisors (651162440).

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

465105400 is a wasteful number, since it uses less digits than its factorization.

465105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75064 (or 75055 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 465105400 is about 21566.3024183563. The cubic root of 465105400 is about 774.7896203153.

Adding to 465105400 its reverse (4501564), we get a palindrome (469606964).

The spelling of 465105400 in words is "four hundred sixty-five million, one hundred five thousand, four hundred".