379490400 has 144 divisors (see below), whose sum is σ = 1372568400. Its totient is φ = 101191680.

The previous prime is 379490387. The next prime is 379490407. The reversal of 379490400 is 4094973.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379490407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12816 + ... + 30384.

It is an arithmetic number, because the mean of its divisors is an integer number (9531725).

Almost surely, 2^379490400 is an apocalyptic number.

379490400 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 379490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686284200).

379490400 is an abundant number, since it is smaller than the sum of its proper divisors (993078000).

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

379490400 is a wasteful number, since it uses less digits than its factorization.

379490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17598 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 379490400 is about 19480.5133402588. The cubic root of 379490400 is about 723.9917176998.

The spelling of 379490400 in words is "three hundred seventy-nine million, four hundred ninety thousand, four hundred".