353997540 has 216 divisors, whose sum is σ = 1208608128. Its totient is φ = 86935680.

The previous prime is 353997533. The next prime is 353997593. The reversal of 353997540 is 45799353.

353997540 is a `hidden beast` number, since 3 + 539 + 9 + 75 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 821125 + ... + 821555.

It is an arithmetic number, because the mean of its divisors is an integer number (5595408).

Almost surely, 2^353997540 is an apocalyptic number.

353997540 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 353997540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604304064).

353997540 is an abundant number, since it is smaller than the sum of its proper divisors (854610588).

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

353997540 is a wasteful number, since it uses less digits than its factorization.

353997540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 353997540 is about 18814.8223483508. The cubic root of 353997540 is about 707.4027568864.

The spelling of 353997540 in words is "three hundred fifty-three million, nine hundred ninety-seven thousand, five hundred forty".