379955520 has 336 divisors, whose sum is σ = 1529169408. Its totient is φ = 84787200.

The previous prime is 379955509. The next prime is 379955557. The reversal of 379955520 is 25559973.

379955520 is a `hidden beast` number, since 3 + 7 + 9 + 95 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947320 + ... + 947720.

Almost surely, 2^379955520 is an apocalyptic number.

379955520 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 379955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764584704).

379955520 is an abundant number, since it is smaller than the sum of its proper divisors (1149213888).

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

379955520 is a wasteful number, since it uses less digits than its factorization.

379955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 379955520 is about 19492.4477683025. The cubic root of 379955520 is about 724.2873822240.

It can be divided in two parts, 3799 and 55520, that added together give a cube (59319 = 39³).

The spelling of 379955520 in words is "three hundred seventy-nine million, nine hundred fifty-five thousand, five hundred twenty".