354605040 has 480 divisors, whose sum is σ = 1389286080. Its totient is φ = 83607552.

The previous prime is 354605039. The next prime is 354605051. The reversal of 354605040 is 40506453.

354605040 is a `hidden beast` number, since 3 + 54 + 605 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 354604995 and 354605013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9583902 + ... + 9583938.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^354605040 is an apocalyptic number.

354605040 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 354605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

354605040 is an abundant number, since it is smaller than the sum of its proper divisors (1034681040).

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

354605040 is a wasteful number, since it uses less digits than its factorization.

354605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 354605040 is about 18830.9596144222. The cubic root of 354605040 is about 707.8071867940.

The spelling of 354605040 in words is "three hundred fifty-four million, six hundred five thousand, forty".