5293974400 has 384 divisors, whose sum is σ = 16063971840. Its totient is φ = 1696358400.

The previous prime is 5293974397. The next prime is 5293974409. The reversal of 5293974400 is 44793925.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5293974409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10524549 + ... + 10525051.

It is an arithmetic number, because the mean of its divisors is an integer number (41833260).

Almost surely, 2^5293974400 is an apocalyptic number.

5293974400 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 5293974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031985920).

5293974400 is an abundant number, since it is smaller than the sum of its proper divisors (10769997440).

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

5293974400 is a wasteful number, since it uses less digits than its factorization.

5293974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 5293974400 is about 72759.7031329843. The cubic root of 5293974400 is about 1742.8524139568.

The spelling of 5293974400 in words is "five billion, two hundred ninety-three million, nine hundred seventy-four thousand, four hundred".