359920440 has 192 divisors, whose sum is σ = 1290612960. Its totient is φ = 86261760.

The previous prime is 359920433. The next prime is 359920487. The reversal of 359920440 is 44029953.

359920440 is a `hidden beast` number, since 3 + 599 + 20 + 4 + 40 = 666.

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 = 359920395 and 359920404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383652 + ... + 384588.

Almost surely, 2^359920440 is an apocalyptic number.

359920440 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 359920440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645306480).

359920440 is an abundant number, since it is smaller than the sum of its proper divisors (930692520).

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

359920440 is a wasteful number, since it uses less digits than its factorization.

359920440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 359920440 is about 18971.5692550722. The cubic root of 359920440 is about 711.3262521424.

The spelling of 359920440 in words is "three hundred fifty-nine million, nine hundred twenty thousand, four hundred forty".