554450400 has 576 divisors, whose sum is σ = 2424844800. Its totient is φ = 119439360.

The previous prime is 554450363. The next prime is 554450401. The reversal of 554450400 is 4054455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554450401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872704 + ... + 2872896.

It is an arithmetic number, because the mean of its divisors is an integer number (4209800).

Almost surely, 2^554450400 is an apocalyptic number.

554450400 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 554450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212422400).

554450400 is an abundant number, since it is smaller than the sum of its proper divisors (1870394400).

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

554450400 is a wasteful number, since it uses less digits than its factorization.

554450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 554450400 is about 23546.7704791974. The cubic root of 554450400 is about 821.5252199899.

The spelling of 554450400 in words is "five hundred fifty-four million, four hundred fifty thousand, four hundred".