50979600 has 405 divisors, whose sum is σ = 218615007. Its totient is φ = 10967040.

The previous prime is 50979571. The next prime is 50979613. The reversal of 50979600 is 697905.

50979600 = 1³ + 2³ + ... + 119³.

The square root of 50979600 is 7140.

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 1192464 + 49787136 = 1092^2 + 7056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2998792 + ... + 2998808.

Almost surely, 2^50979600 is an apocalyptic number.

50979600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50979600 is the 7140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50979600

50979600 is an abundant number, since it is smaller than the sum of its proper divisors (167635407).

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

50979600 is a wasteful number, since it uses less digits than its factorization.

50979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The cubic root of 50979600 is about 370.7935246021.

Multiplying 50979600 by its sum of digits (36), we get a square (1835265600 = 42840²).

50979600 divided by its sum of digits (36) gives a square (1416100 = 1190²).

The spelling of 50979600 in words is "fifty million, nine hundred seventy-nine thousand, six hundred".