4960400 has 30 divisors (see below), whose sum is σ = 11918322. Its totient is φ = 1984000.

The previous prime is 4960393. The next prime is 4960451. The reversal of 4960400 is 40694.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 4787344 = 416^2 + 2188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5801 + ... + 6600.

Almost surely, 2^4960400 is an apocalyptic number.

4960400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4960400 is an abundant number, since it is smaller than the sum of its proper divisors (6957922).

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

4960400 is a wasteful number, since it uses less digits than its factorization.

4960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4960400 is about 2227.1955459726. The cubic root of 4960400 is about 170.5449639612.

It can be divided in two parts, 4 and 960400, that multiplied together give a square (3841600 = 1960²).

The spelling of 4960400 in words is "four million, nine hundred sixty thousand, four hundred".