429654000 has 160 divisors (see below), whose sum is σ = 1400892480. Its totient is φ = 113280000.

The previous prime is 429653981. The next prime is 429654037. The reversal of 429654000 is 456924.

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

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, 605646 + ... + 606354.

It is an arithmetic number, because the mean of its divisors is an integer number (8755578).

Almost surely, 2^429654000 is an apocalyptic number.

429654000 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 429654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700446240).

429654000 is an abundant number, since it is smaller than the sum of its proper divisors (971238480).

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

429654000 is a wasteful number, since it uses less digits than its factorization.

429654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 429654000 is about 20728.0968735675. The cubic root of 429654000 is about 754.5817311018.

The spelling of 429654000 in words is "four hundred twenty-nine million, six hundred fifty-four thousand".