350406432 has 96 divisors (see below), whose sum is σ = 1043884800. Its totient is φ = 114303744.

The previous prime is 350406409. The next prime is 350406437. The reversal of 350406432 is 234604053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 350406396 and 350406405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350406437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36294 + ... + 44922.

It is an arithmetic number, because the mean of its divisors is an integer number (10873800).

Almost surely, 2^350406432 is an apocalyptic number.

350406432 is a gapful number since it is divisible by the number (32) 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 350406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521942400).

350406432 is an abundant number, since it is smaller than the sum of its proper divisors (693478368).

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

350406432 is a wasteful number, since it uses less digits than its factorization.

350406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 350406432 is about 18719.1461343727. The cubic root of 350406432 is about 705.0025531822.

The spelling of 350406432 in words is "three hundred fifty million, four hundred six thousand, four hundred thirty-two".