1552748400 has 960 divisors, whose sum is σ = 7085260800. Its totient is φ = 314772480.

The previous prime is 1552748399. The next prime is 1552748411. The reversal of 1552748400 is 48472551.

1552748400 is a `hidden beast` number, since 155 + 27 + 484 + 0 + 0 = 666.

It is a super-2 number, since 2×1552748400² = 4822055187405120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33037177 + ... + 33037223.

It is an arithmetic number, because the mean of its divisors is an integer number (7380480).

Almost surely, 2^1552748400 is an apocalyptic number.

1552748400 is a gapful number since it is divisible by the number (10) 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 1552748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542630400).

1552748400 is an abundant number, since it is smaller than the sum of its proper divisors (5532512400).

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

1552748400 is a wasteful number, since it uses less digits than its factorization.

1552748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1552748400 is about 39404.9286257443. The cubic root of 1552748400 is about 1157.9781466519.

The spelling of 1552748400 in words is "one billion, five hundred fifty-two million, seven hundred forty-eight thousand, four hundred".