54782400 has 168 divisors, whose sum is σ = 183117744. Its totient is φ = 14336000.

The previous prime is 54782317. The next prime is 54782411. The reversal of 54782400 is 428745.

It is a super-2 number, since 2×54782400² = 6002222699520000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 484744 + ... + 484856.

Almost surely, 2^54782400 is an apocalyptic number.

54782400 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 54782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91558872).

54782400 is an abundant number, since it is smaller than the sum of its proper divisors (128335344).

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

54782400 is a wasteful number, since it uses less digits than its factorization.

54782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 54782400 is about 7401.5133587666. The cubic root of 54782400 is about 379.7930544476.

The spelling of 54782400 in words is "fifty-four million, seven hundred eighty-two thousand, four hundred".