387542400 has 384 divisors, whose sum is σ = 1497523200. Its totient is φ = 86261760.

The previous prime is 387542383. The next prime is 387542423. The reversal of 387542400 is 4245783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×387542400² = 300378223595520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905561 + ... + 4905639.

It is an arithmetic number, because the mean of its divisors is an integer number (3899800).

Almost surely, 2^387542400 is an apocalyptic number.

387542400 is a gapful number since it is divisible by the number (30) 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 387542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748761600).

387542400 is an abundant number, since it is smaller than the sum of its proper divisors (1109980800).

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

387542400 is a wasteful number, since it uses less digits than its factorization.

387542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 387542400 is about 19686.0966166480. The cubic root of 387542400 is about 729.0764576656.

The spelling of 387542400 in words is "three hundred eighty-seven million, five hundred forty-two thousand, four hundred".