554390400 has 384 divisors, whose sum is σ = 2003443200. Its totient is φ = 134184960.

The previous prime is 554390399. The next prime is 554390407. The reversal of 554390400 is 4093455.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×554390400² = 614697431224320000, 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 not an unprimeable number, because it can be changed into a prime (554390407) 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, 7017561 + ... + 7017639.

It is an arithmetic number, because the mean of its divisors is an integer number (5217300).

Almost surely, 2^554390400 is an apocalyptic number.

554390400 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 554390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001721600).

554390400 is an abundant number, since it is smaller than the sum of its proper divisors (1449052800).

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

554390400 is a wasteful number, since it uses less digits than its factorization.

554390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 554390400 is about 23545.4963846592. The cubic root of 554390400 is about 821.4955850630.

The spelling of 554390400 in words is "five hundred fifty-four million, three hundred ninety thousand, four hundred".