5272400448 has 336 divisors, whose sum is σ = 18160471680. Its totient is φ = 1430618112.

The previous prime is 5272400447. The next prime is 5272400479. The reversal of 5272400448 is 8440042725.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (5272400447) 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, 7833840 + ... + 7834512.

Almost surely, 2^5272400448 is an apocalyptic number.

5272400448 is a gapful number since it is divisible by the number (58) 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 5272400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080235840).

5272400448 is an abundant number, since it is smaller than the sum of its proper divisors (12888071232).

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

5272400448 is a wasteful number, since it uses less digits than its factorization.

5272400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 5272400448 is about 72611.2969723031. The cubic root of 5272400448 is about 1740.4817057116.

The spelling of 5272400448 in words is "five billion, two hundred seventy-two million, four hundred thousand, four hundred forty-eight".