552452400 has 450 divisors, whose sum is σ = 2141896020. Its totient is φ = 136304640.

The previous prime is 552452377. The next prime is 552452423. The reversal of 552452400 is 4254255.

It is an interprime number because it is at equal distance from previous prime (552452377) and next prime (552452423).

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9363571 + ... + 9363629.

Almost surely, 2^552452400 is an apocalyptic number.

552452400 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 552452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070948010).

552452400 is an abundant number, since it is smaller than the sum of its proper divisors (1589443620).

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

552452400 is a wasteful number, since it uses less digits than its factorization.

552452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

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

The square root of 552452400 is about 23504.3059884779. The cubic root of 552452400 is about 820.5372247983.

The spelling of 552452400 in words is "five hundred fifty-two million, four hundred fifty-two thousand, four hundred".