556033464 has 256 divisors, whose sum is σ = 1880064000. Its totient is φ = 148832640.

The previous prime is 556033451. The next prime is 556033477. The reversal of 556033464 is 464330655.

556033464 is a `hidden beast` number, since 5 + 5 + 603 + 3 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (556033451) and next prime (556033477).

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 63 ways as a sum of consecutive naturals, for example, 2051649 + ... + 2051919.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2^556033464 is an apocalyptic number.

556033464 is a gapful number since it is divisible by the number (54) 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 556033464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940032000).

556033464 is an abundant number, since it is smaller than the sum of its proper divisors (1324030536).

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

556033464 is a wasteful number, since it uses less digits than its factorization.

556033464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 556033464 is about 23580.3618292850. The cubic root of 556033464 is about 822.3063485981.

The spelling of 556033464 in words is "five hundred fifty-six million, thirty-three thousand, four hundred sixty-four".