394907040 has 288 divisors, whose sum is σ = 1490239296. Its totient is φ = 94433280.

The previous prime is 394906979. The next prime is 394907057. The reversal of 394907040 is 40709493.

394907040 = T₄₉₁ + T₄₉₂ + ... + T₁₃₅₄.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 394906986 and 394907004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694764 + ... + 1694996.

It is an arithmetic number, because the mean of its divisors is an integer number (5174442).

Almost surely, 2^394907040 is an apocalyptic number.

394907040 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 394907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745119648).

394907040 is an abundant number, since it is smaller than the sum of its proper divisors (1095332256).

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

394907040 is a wasteful number, since it uses less digits than its factorization.

394907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

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

The square root of 394907040 is about 19872.2681141333. The cubic root of 394907040 is about 733.6658290206.

The spelling of 394907040 in words is "three hundred ninety-four million, nine hundred seven thousand, forty".