387904280400 has 1440 divisors, whose sum is σ = 1731729995520. Its totient is φ = 80741007360.

The previous prime is 387904280377. The next prime is 387904280441. The reversal of 387904280400 is 4082409783.

387904280400 is a `hidden beast` number, since 3 + 87 + 90 + 4 + 2 + 80 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1239310644 + ... + 1239310956.

Almost surely, 2^387904280400 is an apocalyptic number.

387904280400 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 387904280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865864997760).

387904280400 is an abundant number, since it is smaller than the sum of its proper divisors (1343825715120).

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

387904280400 is a wasteful number, since it uses less digits than its factorization.

387904280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 387904280400 in words is "three hundred eighty-seven billion, nine hundred four million, two hundred eighty thousand, four hundred".