387410400 has 216 divisors, whose sum is σ = 1471546440. Its totient is φ = 95339520.

The previous prime is 387410393. The next prime is 387410407. The reversal of 387410400 is 4014783.

It is an interprime number because it is at equal distance from previous prime (387410393) and next prime (387410407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387410407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91531 + ... + 95669.

It is an arithmetic number, because the mean of its divisors is an integer number (6812715).

Almost surely, 2^387410400 is an apocalyptic number.

387410400 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 387410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735773220).

387410400 is an abundant number, since it is smaller than the sum of its proper divisors (1084136040).

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

387410400 is a wasteful number, since it uses less digits than its factorization.

387410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 387410400 is about 19682.7437111801. The cubic root of 387410400 is about 728.9936718673.

The spelling of 387410400 in words is "three hundred eighty-seven million, four hundred ten thousand, four hundred".