5870624400 has 135 divisors (see below), whose sum is σ = 20388663451. Its totient is φ = 1564273920.

The previous prime is 5870624387. The next prime is 5870624471. The reversal of 5870624400 is 44260785.

The square root of 5870624400 is 76620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 5868785664 = 1356^2 + 76608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4596562 + ... + 4597838.

Almost surely, 2^5870624400 is an apocalyptic number.

5870624400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5870624400 is the 76620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5870624400

5870624400 is an abundant number, since it is smaller than the sum of its proper divisors (14518039051).

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

5870624400 is a wasteful number, since it uses less digits than its factorization.

5870624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 5870624400 is about 1803.9649634380.

Multiplying 5870624400 by its sum of digits (36), we get a square (211342478400 = 459720²).

5870624400 divided by its sum of digits (36) gives a square (163072900 = 12770²).

The spelling of 5870624400 in words is "five billion, eight hundred seventy million, six hundred twenty-four thousand, four hundred".