363407040 has 112 divisors (see below), whose sum is σ = 1282049760. Its totient is φ = 96906240.

The previous prime is 363407003. The next prime is 363407047. The reversal of 363407040 is 40704363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 363406995 and 363407013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363407047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12391 + ... + 29670.

Almost surely, 2^363407040 is an apocalyptic number.

363407040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363407040 is an abundant number, since it is smaller than the sum of its proper divisors (918642720).

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

363407040 is a wasteful number, since it uses less digits than its factorization.

363407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42087 (or 42071 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 363407040 is about 19063.2379201436. The cubic root of 363407040 is about 713.6157808518.

The spelling of 363407040 in words is "three hundred sixty-three million, four hundred seven thousand, forty".