49292880400 has 135 divisors (see below), whose sum is σ = 125995115701. Its totient is φ = 18528901120.

The previous prime is 49292880361. The next prime is 49292880419. The reversal of 49292880400 is 408829294.

The square root of 49292880400 is 222020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 30909859344 + 18383021056 = 175812^2 + 135584^2 .

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, 75486474 + ... + 75487126.

Almost surely, 2^49292880400 is an apocalyptic number.

49292880400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49292880400 is the 222020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49292880400

49292880400 is an abundant number, since it is smaller than the sum of its proper divisors (76702235301).

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

49292880400 is an equidigital number, since it uses as much as digits as its factorization.

49292880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 49292880400 in words is "forty-nine billion, two hundred ninety-two million, eight hundred eighty thousand, four hundred".