52790400 has 384 divisors, whose sum is σ = 212486400. Its totient is φ = 12718080.

The previous prime is 52790371. The next prime is 52790449. The reversal of 52790400 is 409725.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123177 + ... + 1123223.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^52790400 is an apocalyptic number.

52790400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

52790400 is an abundant number, since it is smaller than the sum of its proper divisors (159696000).

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

52790400 is a wasteful number, since it uses less digits than its factorization.

52790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52790400 is about 7265.7002415459. The cubic root of 52790400 is about 375.1327529988.

The spelling of 52790400 in words is "fifty-two million, seven hundred ninety thousand, four hundred".