5478960400 has 45 divisors (see below), whose sum is σ = 13166759983. Its totient is φ = 2190992000.

The previous prime is 5478960373. The next prime is 5478960427. The reversal of 5478960400 is 40698745.

The square root of 5478960400 is 74020.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5478960373) and next prime (5478960427).

It can be written as a sum of positive squares in 4 ways, for example, as 308775184 + 5170185216 = 17572^2 + 71904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1478550 + ... + 1482250.

Almost surely, 2^5478960400 is an apocalyptic number.

5478960400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5478960400 is the 74020-th square number.

It is an amenable number.

5478960400 is an abundant number, since it is smaller than the sum of its proper divisors (7687799583).

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

5478960400 is an frugal number, since it uses more digits than its factorization.

5478960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 5478960400 is about 1762.9204697414.

The spelling of 5478960400 in words is "five billion, four hundred seventy-eight million, nine hundred sixty thousand, four hundred".