379922400 has 720 divisors, whose sum is σ = 1667424528. Its totient is φ = 82944000.

The previous prime is 379922393. The next prime is 379922407. The reversal of 379922400 is 4229973.

It is an interprime number because it is at equal distance from previous prime (379922393) and next prime (379922407).

It is a tau number, because it is divible by the number of its divisors (720).

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 (379922407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9266380 + ... + 9266420.

Almost surely, 2^379922400 is an apocalyptic number.

379922400 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 379922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833712264).

379922400 is an abundant number, since it is smaller than the sum of its proper divisors (1287502128).

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

379922400 is a wasteful number, since it uses less digits than its factorization.

379922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

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

The square root of 379922400 is about 19491.5981899894. The cubic root of 379922400 is about 724.2663366947.

The spelling of 379922400 in words is "three hundred seventy-nine million, nine hundred twenty-two thousand, four hundred".