356485920 has 288 divisors, whose sum is σ = 1376258688. Its totient is φ = 75718656.

The previous prime is 356485853. The next prime is 356485949. The reversal of 356485920 is 29584653.

It is a super-2 number, since 2×356485920² = 254164422316492800, which contains 22 as substring.

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

It is a congruent number.

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, 4512441 + ... + 4512519.

It is an arithmetic number, because the mean of its divisors is an integer number (4778676).

Almost surely, 2^356485920 is an apocalyptic number.

356485920 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 356485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688129344).

356485920 is an abundant number, since it is smaller than the sum of its proper divisors (1019772768).

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

356485920 is a wasteful number, since it uses less digits than its factorization.

356485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 356485920 is about 18880.8347273101. The cubic root of 356485920 is about 709.0564202938.

The spelling of 356485920 in words is "three hundred fifty-six million, four hundred eighty-five thousand, nine hundred twenty".