429023520 has 192 divisors, whose sum is σ = 1534256640. Its totient is φ = 111919104.

The previous prime is 429023519. The next prime is 429023533. The reversal of 429023520 is 25320924.

429023520 is a `hidden beast` number, since 429 + 0 + 235 + 2 + 0 = 666.

It is a super-2 number, since 2×429023520² = 368122361426380800, which contains 22 as substring.

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

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, 201984 + ... + 204096.

It is an arithmetic number, because the mean of its divisors is an integer number (7990920).

Almost surely, 2^429023520 is an apocalyptic number.

429023520 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 429023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767128320).

429023520 is an abundant number, since it is smaller than the sum of its proper divisors (1105233120).

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

429023520 is a wasteful number, since it uses less digits than its factorization.

429023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 429023520 is about 20712.8829475764. The cubic root of 429023520 is about 754.2124559903.

The spelling of 429023520 in words is "four hundred twenty-nine million, twenty-three thousand, five hundred twenty".