353625440 has 96 divisors (see below), whose sum is σ = 968454144. Its totient is φ = 119508480.

The previous prime is 353625427. The next prime is 353625457. The reversal of 353625440 is 44526353.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 353625397 and 353625406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77297 + ... + 81743.

It is an arithmetic number, because the mean of its divisors is an integer number (10088064).

Almost surely, 2^353625440 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 353625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484227072).

353625440 is an abundant number, since it is smaller than the sum of its proper divisors (614828704).

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

353625440 is a wasteful number, since it uses less digits than its factorization.

353625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 353625440 is about 18804.9312681541. The cubic root of 353625440 is about 707.1548108619.

The spelling of 353625440 in words is "three hundred fifty-three million, six hundred twenty-five thousand, four hundred forty".