356552820 has 144 divisors (see below), whose sum is σ = 1201475520. Its totient is φ = 87744384.

The previous prime is 356552813. The next prime is 356552837. The reversal of 356552820 is 28255653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 89307 + ... + 93213.

It is an arithmetic number, because the mean of its divisors is an integer number (8343580).

Almost surely, 2^356552820 is an apocalyptic number.

356552820 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 356552820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600737760).

356552820 is an abundant number, since it is smaller than the sum of its proper divisors (844922700).

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

356552820 is a wasteful number, since it uses less digits than its factorization.

356552820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 356552820 is about 18882.6062819728. The cubic root of 356552820 is about 709.1007725901.

The spelling of 356552820 in words is "three hundred fifty-six million, five hundred fifty-two thousand, eight hundred twenty".