355904640 has 576 divisors, whose sum is σ = 1555477560. Its totient is φ = 74317824.

The previous prime is 355904621. The next prime is 355904657. The reversal of 355904640 is 46409553.

It is a happy number.

355904640 is a `hidden beast` number, since 3 + 5 + 5 + 9 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213627456 + 142277184 = 14616^2 + 11928^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×355904640² = 253336225547059200, which contains 22 as substring.

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 = 355904595 and 355904604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669072 + ... + 3669168.

Almost surely, 2^355904640 is an apocalyptic number.

355904640 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 355904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777738780).

355904640 is an abundant number, since it is smaller than the sum of its proper divisors (1199572920).

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

355904640 is a wasteful number, since it uses less digits than its factorization.

355904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

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

The square root of 355904640 is about 18865.4350599184. The cubic root of 355904640 is about 708.6708187720.

The spelling of 355904640 in words is "three hundred fifty-five million, nine hundred four thousand, six hundred forty".