355214640 has 160 divisors (see below), whose sum is σ = 1209136896. Its totient is φ = 85550080.

The previous prime is 355214627. The next prime is 355214669. The reversal of 355214640 is 46412553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 355214598 and 355214607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519739 + ... + 520421.

Almost surely, 2^355214640 is an apocalyptic number.

355214640 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 355214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604568448).

355214640 is an abundant number, since it is smaller than the sum of its proper divisors (853922256).

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

355214640 is a wasteful number, since it uses less digits than its factorization.

355214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 355214640 is about 18847.1387748910. The cubic root of 355214640 is about 708.2125506937.

The spelling of 355214640 in words is "three hundred fifty-five million, two hundred fourteen thousand, six hundred forty".