356489952 has 288 divisors, whose sum is σ = 1201229568. Its totient is φ = 90574848.

The previous prime is 356489941. The next prime is 356489981. The reversal of 356489952 is 259984653.

Its product of digits (2332800) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 356489895 and 356489904.

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, 4883388 + ... + 4883460.

It is an arithmetic number, because the mean of its divisors is an integer number (4170936).

Almost surely, 2^356489952 is an apocalyptic number.

356489952 is a gapful number since it is divisible by the number (32) 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 356489952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600614784).

356489952 is an abundant number, since it is smaller than the sum of its proper divisors (844739616).

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

356489952 is a wasteful number, since it uses less digits than its factorization.

356489952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 356489952 is about 18880.9415019485. The cubic root of 356489952 is about 709.0590935220.

The spelling of 356489952 in words is "three hundred fifty-six million, four hundred eighty-nine thousand, nine hundred fifty-two".