356964096 has 144 divisors (see below), whose sum is σ = 1059609600. Its totient is φ = 106020864.

The previous prime is 356964089. The next prime is 356964121. The reversal of 356964096 is 690469653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247345 + ... + 248783.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^356964096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529804800).

356964096 is an abundant number, since it is smaller than the sum of its proper divisors (702645504).

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

356964096 is a wasteful number, since it uses less digits than its factorization.

356964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 356964096 is about 18893.4934832074. The cubic root of 356964096 is about 709.3733119847.

The spelling of 356964096 in words is "three hundred fifty-six million, nine hundred sixty-four thousand, ninety-six".