351251040 has 192 divisors, whose sum is σ = 1277627904. Its totient is φ = 79454208.

The previous prime is 351251029. The next prime is 351251041. The reversal of 351251040 is 40152153.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 351250998 and 351251016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351251041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359032 + ... + 360008.

It is an arithmetic number, because the mean of its divisors is an integer number (6654312).

Almost surely, 2^351251040 is an apocalyptic number.

351251040 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 351251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638813952).

351251040 is an abundant number, since it is smaller than the sum of its proper divisors (926376864).

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

351251040 is a wasteful number, since it uses less digits than its factorization.

351251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 351251040 is about 18741.6925596383. The cubic root of 351251040 is about 705.5685369119.

The spelling of 351251040 in words is "three hundred fifty-one million, two hundred fifty-one thousand, forty".