394763040 has 144 divisors (see below), whose sum is σ = 1539615168. Its totient is φ = 90229248.

The previous prime is 394763029. The next prime is 394763063. The reversal of 394763040 is 40367493.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 394762986 and 394763004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9502 + ... + 29661.

It is an arithmetic number, because the mean of its divisors is an integer number (10691772).

Almost surely, 2^394763040 is an apocalyptic number.

394763040 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 394763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769807584).

394763040 is an abundant number, since it is smaller than the sum of its proper divisors (1144852128).

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

394763040 is a wasteful number, since it uses less digits than its factorization.

394763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39191 (or 39180 counting only the distinct ones).

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

The square root of 394763040 is about 19868.6446442630. The cubic root of 394763040 is about 733.5766428641.

The spelling of 394763040 in words is "three hundred ninety-four million, seven hundred sixty-three thousand, forty".