394970400 has 216 divisors, whose sum is σ = 1519683984. Its totient is φ = 95731200.

The previous prime is 394970399. The next prime is 394970419. The reversal of 394970400 is 4079493.

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 35 ways as a sum of consecutive naturals, for example, 76707 + ... + 81693.

It is an arithmetic number, because the mean of its divisors is an integer number (7035574).

Almost surely, 2^394970400 is an apocalyptic number.

394970400 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 394970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759841992).

394970400 is an abundant number, since it is smaller than the sum of its proper divisors (1124713584).

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

394970400 is a wasteful number, since it uses less digits than its factorization.

394970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5008 counting only the distinct ones).

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

The square root of 394970400 is about 19873.8622315845. The cubic root of 394970400 is about 733.7050640610.

The spelling of 394970400 in words is "three hundred ninety-four million, nine hundred seventy thousand, four hundred".