555032400 has 240 divisors, whose sum is σ = 1958041344. Its totient is φ = 133539840.

The previous prime is 555032381. The next prime is 555032407. The reversal of 555032400 is 4230555.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×555032400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555032407) 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, 732822 + ... + 733578.

Almost surely, 2^555032400 is an apocalyptic number.

555032400 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 555032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979020672).

555032400 is an abundant number, since it is smaller than the sum of its proper divisors (1403008944).

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

555032400 is a wasteful number, since it uses less digits than its factorization.

555032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 555032400 is about 23559.1256204470. The cubic root of 555032400 is about 821.8125678937.

Adding to 555032400 its reverse (4230555), we get a palindrome (559262955).

It can be divided in two parts, 5550 and 32400, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 555032400 in words is "five hundred fifty-five million, thirty-two thousand, four hundred".