4965400 has 96 divisors (see below), whose sum is σ = 13146480. Its totient is φ = 1728000.

The previous prime is 4965397. The next prime is 4965413. The reversal of 4965400 is 45694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81370 + ... + 81430.

Almost surely, 2^4965400 is an apocalyptic number.

4965400 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 4965400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

4965400 is an abundant number, since it is smaller than the sum of its proper divisors (8181080).

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

4965400 is a wasteful number, since it uses less digits than its factorization.

4965400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4965400 is about 2228.3177511298. The cubic root of 4965400 is about 170.6022468732.

The spelling of 4965400 in words is "four million, nine hundred sixty-five thousand, four hundred".