351480640 has 112 divisors (see below), whose sum is σ = 963119232. Its totient is φ = 119678976.

The previous prime is 351480631. The next prime is 351480673. The reversal of 351480640 is 46084153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 387067 + ... + 387973.

Almost surely, 2^351480640 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 351480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481559616).

351480640 is an abundant number, since it is smaller than the sum of its proper divisors (611638592).

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

351480640 is a wasteful number, since it uses less digits than its factorization.

351480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 351480640 is about 18747.8169395799. The cubic root of 351480640 is about 705.7222382374.

The spelling of 351480640 in words is "three hundred fifty-one million, four hundred eighty thousand, six hundred forty".