432470640 has 160 divisors (see below), whose sum is σ = 1544186880. Its totient is φ = 98076672.

The previous prime is 432470629. The next prime is 432470657. The reversal of 432470640 is 46074234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432470598 and 432470607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229221 + ... + 231099.

It is an arithmetic number, because the mean of its divisors is an integer number (9651168).

Almost surely, 2^432470640 is an apocalyptic number.

432470640 is a gapful number since it is divisible by the number (40) 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 432470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772093440).

432470640 is an abundant number, since it is smaller than the sum of its proper divisors (1111716240).

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

432470640 is a wasteful number, since it uses less digits than its factorization.

432470640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 432470640 is about 20795.9284476553. The cubic root of 432470640 is about 756.2270531024.

The spelling of 432470640 in words is "four hundred thirty-two million, four hundred seventy thousand, six hundred forty".