393629040 has 120 divisors (see below), whose sum is σ = 1510805088. Its totient is φ = 89971200.

The previous prime is 393629029. The next prime is 393629057. The reversal of 393629040 is 40926393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×393629040² = 309887642262643200, which contains 22 as substring.

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 = 393628986 and 393629004.

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, 34011 + ... + 44090.

Almost surely, 2^393629040 is an apocalyptic number.

393629040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393629040 is an abundant number, since it is smaller than the sum of its proper divisors (1117176048).

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

393629040 is a wasteful number, since it uses less digits than its factorization.

393629040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78127 (or 78118 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 393629040 is about 19840.0866933590. The cubic root of 393629040 is about 732.8735428152.

The spelling of 393629040 in words is "three hundred ninety-three million, six hundred twenty-nine thousand, forty".