379283400 has 72 divisors (see below), whose sum is σ = 1273766130. Its totient is φ = 101141760.

The previous prime is 379283353. The next prime is 379283417. The reversal of 379283400 is 4382973.

379283400 is a `hidden beast` number, since 379 + 283 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 145009764 + 234273636 = 12042^2 + 15306^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103557 + ... + 107156.

Almost surely, 2^379283400 is an apocalyptic number.

379283400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379283400 is an abundant number, since it is smaller than the sum of its proper divisors (894482730).

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

379283400 is a wasteful number, since it uses less digits than its factorization.

379283400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210735 (or 210723 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 379283400 is about 19475.1996138679. The cubic root of 379283400 is about 723.8600555700.

It can be divided in two parts, 37928 and 3400, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 379283400 in words is "three hundred seventy-nine million, two hundred eighty-three thousand, four hundred".