428414400 has 336 divisors, whose sum is σ = 1602516480. Its totient is φ = 111283200.

The previous prime is 428414383. The next prime is 428414417. The reversal of 428414400 is 4414824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428414383) and next prime (428414417).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030295 + ... + 2030505.

Almost surely, 2^428414400 is an apocalyptic number.

428414400 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 428414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801258240).

428414400 is an abundant number, since it is smaller than the sum of its proper divisors (1174102080).

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

428414400 is a wasteful number, since it uses less digits than its factorization.

428414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 428414400 is about 20698.1738324906. The cubic root of 428414400 is about 753.8553477664.

The spelling of 428414400 in words is "four hundred twenty-eight million, four hundred fourteen thousand, four hundred".