429746400 has 216 divisors, whose sum is σ = 1604991024. Its totient is φ = 107827200.

The previous prime is 429746381. The next prime is 429746411. The reversal of 429746400 is 4647924.

429746400 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120645 + ... + 124155.

It is an arithmetic number, because the mean of its divisors is an integer number (7430514).

Almost surely, 2^429746400 is an apocalyptic number.

429746400 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 429746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802495512).

429746400 is an abundant number, since it is smaller than the sum of its proper divisors (1175244624).

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

429746400 is a wasteful number, since it uses less digits than its factorization.

429746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 429746400 is about 20730.3256124934. The cubic root of 429746400 is about 754.6358198604.

The spelling of 429746400 in words is "four hundred twenty-nine million, seven hundred forty-six thousand, four hundred".