359053440 has 128 divisors (see below), whose sum is σ = 1171368000. Its totient is φ = 93499392.

The previous prime is 359053433. The next prime is 359053477. The reversal of 359053440 is 44350953.

359053440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80386 + ... + 84734.

Almost surely, 2^359053440 is an apocalyptic number.

359053440 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 359053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585684000).

359053440 is an abundant number, since it is smaller than the sum of its proper divisors (812314560).

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

359053440 is a wasteful number, since it uses less digits than its factorization.

359053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 359053440 is about 18948.7054966824. The cubic root of 359053440 is about 710.7546297742.

The spelling of 359053440 in words is "three hundred fifty-nine million, fifty-three thousand, four hundred forty".