394513152 has 288 divisors, whose sum is σ = 1260935424. Its totient is φ = 108134400.

The previous prime is 394513139. The next prime is 394513199. The reversal of 394513152 is 251315493.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5888223 + ... + 5888289.

It is an arithmetic number, because the mean of its divisors is an integer number (4378248).

Almost surely, 2^394513152 is an apocalyptic number.

394513152 is a gapful number since it is divisible by the number (32) 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 394513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630467712).

394513152 is an abundant number, since it is smaller than the sum of its proper divisors (866422272).

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

394513152 is a wasteful number, since it uses less digits than its factorization.

394513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 394513152 is about 19862.3551473636. The cubic root of 394513152 is about 733.4218236650.

The spelling of 394513152 in words is "three hundred ninety-four million, five hundred thirteen thousand, one hundred fifty-two".