359197440 has 432 divisors, whose sum is σ = 1409280768. Its totient is φ = 77586432.

The previous prime is 359197409. The next prime is 359197457. The reversal of 359197440 is 44791953.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 359197392 and 359197401.

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, 4327639 + ... + 4327721.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2^359197440 is an apocalyptic number.

359197440 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 359197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

359197440 is an abundant number, since it is smaller than the sum of its proper divisors (1050083328).

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

359197440 is a wasteful number, since it uses less digits than its factorization.

359197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 359197440 is about 18952.5048476448. The cubic root of 359197440 is about 710.8496341903.

The spelling of 359197440 in words is "three hundred fifty-nine million, one hundred ninety-seven thousand, four hundred forty".