387050400 has 432 divisors, whose sum is σ = 1552588128. Its totient is φ = 93312000.

The previous prime is 387050399. The next prime is 387050401. The reversal of 387050400 is 4050783.

It is an interprime number because it is at equal distance from previous prime (387050399) and next prime (387050401).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (387050401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138310 + ... + 2138490.

It is an arithmetic number, because the mean of its divisors is an integer number (3593954).

Almost surely, 2^387050400 is an apocalyptic number.

387050400 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 387050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776294064).

387050400 is an abundant number, since it is smaller than the sum of its proper divisors (1165537728).

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

387050400 is a wasteful number, since it uses less digits than its factorization.

387050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 387050400 is about 19673.5965191929. The cubic root of 387050400 is about 728.7677967972.

The spelling of 387050400 in words is "three hundred eighty-seven million, fifty thousand, four hundred".