429656640 has 224 divisors, whose sum is σ = 1651186944. Its totient is φ = 92405760.

The previous prime is 429656627. The next prime is 429656641. The reversal of 429656640 is 46656924.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 429656592 and 429656601.

It is not an unprimeable number, because it can be changed into a prime (429656641) 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, 112360 + ... + 116120.

Almost surely, 2^429656640 is an apocalyptic number.

429656640 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 429656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825593472).

429656640 is an abundant number, since it is smaller than the sum of its proper divisors (1221530304).

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

429656640 is a wasteful number, since it uses less digits than its factorization.

429656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 429656640 is about 20728.1605551482. The cubic root of 429656640 is about 754.5832766026.

The spelling of 429656640 in words is "four hundred twenty-nine million, six hundred fifty-six thousand, six hundred forty".