5457488400 has 720 divisors, whose sum is σ = 24212033664. Its totient is φ = 1149603840.

The previous prime is 5457488381. The next prime is 5457488423. The reversal of 5457488400 is 48847545.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5457488400² = 59568359272269120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8844892 + ... + 8845508.

Almost surely, 2^5457488400 is an apocalyptic number.

5457488400 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 5457488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106016832).

5457488400 is an abundant number, since it is smaller than the sum of its proper divisors (18754545264).

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

5457488400 is a wasteful number, since it uses less digits than its factorization.

5457488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 5457488400 is about 73874.8157358108. The cubic root of 5457488400 is about 1760.6144978908.

The spelling of 5457488400 in words is "five billion, four hundred fifty-seven million, four hundred eighty-eight thousand, four hundred".