356495040 has 448 divisors, whose sum is σ = 1427927040. Its totient is φ = 83635200.

The previous prime is 356495017. The next prime is 356495077. The reversal of 356495040 is 40594653.

It is a happy number.

356495040 is a `hidden beast` number, since 3 + 5 + 649 + 5 + 0 + 4 + 0 = 666.

356495040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 356494986 and 356495004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11499825 + ... + 11499855.

Almost surely, 2^356495040 is an apocalyptic number.

356495040 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 356495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713963520).

356495040 is an abundant number, since it is smaller than the sum of its proper divisors (1071432000).

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

356495040 is a wasteful number, since it uses less digits than its factorization.

356495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 356495040 is about 18881.0762405113. The cubic root of 356495040 is about 709.0624668527.

The spelling of 356495040 in words is "three hundred fifty-six million, four hundred ninety-five thousand, forty".