5392464000 has 512 divisors, whose sum is σ = 22302259200. Its totient is φ = 1119744000.

The previous prime is 5392463939. The next prime is 5392464013. The reversal of 5392464000 is 4642935.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695271 + ... + 3696729.

It is an arithmetic number, because the mean of its divisors is an integer number (43559100).

Almost surely, 2^5392464000 is an apocalyptic number.

5392464000 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 5392464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11151129600).

5392464000 is an abundant number, since it is smaller than the sum of its proper divisors (16909795200).

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

5392464000 is a wasteful number, since it uses less digits than its factorization.

5392464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5392464000 is about 73433.3983960977. The cubic root of 5392464000 is about 1753.5941371436.

The spelling of 5392464000 in words is "five billion, three hundred ninety-two million, four hundred sixty-four thousand".