523790400 has 504 divisors, whose sum is σ = 2132783136. Its totient is φ = 111820800.

The previous prime is 523790387. The next prime is 523790411. The reversal of 523790400 is 4097325.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3998335 + ... + 3998465.

Almost surely, 2^523790400 is an apocalyptic number.

523790400 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 523790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066391568).

523790400 is an abundant number, since it is smaller than the sum of its proper divisors (1608992736).

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

523790400 is a wasteful number, since it uses less digits than its factorization.

523790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 523790400 is about 22886.4676173498. The cubic root of 523790400 is about 806.0942899827.

The spelling of 523790400 in words is "five hundred twenty-three million, seven hundred ninety thousand, four hundred".