394263072 has 384 divisors, whose sum is σ = 1432166400. Its totient is φ = 103016448.

The previous prime is 394263061. The next prime is 394263101. The reversal of 394263072 is 270362493.

It is a happy number.

394263072 is a `hidden beast` number, since 394 + 263 + 0 + 7 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5400828 + ... + 5400900.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2^394263072 is an apocalyptic number.

394263072 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 394263072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716083200).

394263072 is an abundant number, since it is smaller than the sum of its proper divisors (1037903328).

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

394263072 is a wasteful number, since it uses less digits than its factorization.

394263072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 394263072 is about 19856.0588234423. The cubic root of 394263072 is about 733.2668200464.

It can be divided in two parts, 3942 and 63072, that multiplied together give a square (248629824 = 15768²).

The spelling of 394263072 in words is "three hundred ninety-four million, two hundred sixty-three thousand, seventy-two".