387400800 has 288 divisors, whose sum is σ = 1343913984. Its totient is φ = 96768000.

The previous prime is 387400789. The next prime is 387400817. The reversal of 387400800 is 8004783.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050337 + ... + 3050463.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2^387400800 is an apocalyptic number.

387400800 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 387400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671956992).

387400800 is an abundant number, since it is smaller than the sum of its proper divisors (956513184).

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

387400800 is a wasteful number, since it uses less digits than its factorization.

387400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 387400800 is about 19682.4998412295. The cubic root of 387400800 is about 728.9876503484.

The spelling of 387400800 in words is "three hundred eighty-seven million, four hundred thousand, eight hundred".