351469440 has 384 divisors, whose sum is σ = 1451174400. Its totient is φ = 76640256.

The previous prime is 351469411. The next prime is 351469451. The reversal of 351469440 is 44964153.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 351469395 and 351469404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927171 + ... + 927549.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^351469440 is an apocalyptic number.

351469440 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 351469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725587200).

351469440 is an abundant number, since it is smaller than the sum of its proper divisors (1099704960).

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

351469440 is a wasteful number, since it uses less digits than its factorization.

351469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 351469440 is about 18747.5182357559. The cubic root of 351469440 is about 705.7147421650.

The spelling of 351469440 in words is "three hundred fifty-one million, four hundred sixty-nine thousand, four hundred forty".