387409440 has 192 divisors, whose sum is σ = 1341204480. Its totient is φ = 93219840.

The previous prime is 387409433. The next prime is 387409457. The reversal of 387409440 is 44904783.

It is a super-2 number, since 2×387409440² = 300172148402227200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1261767 + ... + 1262073.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^387409440 is an apocalyptic number.

387409440 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 387409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

387409440 is an abundant number, since it is smaller than the sum of its proper divisors (953795040).

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

387409440 is a wasteful number, since it uses less digits than its factorization.

387409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 387409440 is about 19682.7193243210. The cubic root of 387409440 is about 728.9930697199.

The spelling of 387409440 in words is "three hundred eighty-seven million, four hundred nine thousand, four hundred forty".