351825408 has 180 divisors, whose sum is σ = 1117860744. Its totient is φ = 106444800.

The previous prime is 351825407. The next prime is 351825449. The reversal of 351825408 is 804528153.

It is a happy number.

351825408 is a `hidden beast` number, since 35 + 1 + 82 + 540 + 8 = 666.

It is a super-2 number, since 2×351825408² = 247562235428732928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351825401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557253 + ... + 557883.

Almost surely, 2^351825408 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 351825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558930372).

351825408 is an abundant number, since it is smaller than the sum of its proper divisors (766035336).

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

351825408 is a wasteful number, since it uses less digits than its factorization.

351825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 351825408 is about 18757.0095697582. The cubic root of 351825408 is about 705.9529109078.

The spelling of 351825408 in words is "three hundred fifty-one million, eight hundred twenty-five thousand, four hundred eight".