552494400 has 336 divisors, whose sum is σ = 1935114240. Its totient is φ = 137779200.

The previous prime is 552494389. The next prime is 552494429. The reversal of 552494400 is 4494255.

552494400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6993561 + ... + 6993639.

Almost surely, 2^552494400 is an apocalyptic number.

552494400 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 552494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967557120).

552494400 is an abundant number, since it is smaller than the sum of its proper divisors (1382619840).

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

552494400 is a wasteful number, since it uses less digits than its factorization.

552494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 552494400 is about 23505.1994248081. The cubic root of 552494400 is about 820.5580179563.

The spelling of 552494400 in words is "five hundred fifty-two million, four hundred ninety-four thousand, four hundred".