428342400 has 288 divisors, whose sum is σ = 1553806800. Its totient is φ = 112343040.

The previous prime is 428342399. The next prime is 428342401. The reversal of 428342400 is 4243824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428342399) and next prime (428342401).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (428342401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3081531 + ... + 3081669.

Almost surely, 2^428342400 is an apocalyptic number.

428342400 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 428342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776903400).

428342400 is an abundant number, since it is smaller than the sum of its proper divisors (1125464400).

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

428342400 is a wasteful number, since it uses less digits than its factorization.

428342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 428342400 is about 20696.4344755323. The cubic root of 428342400 is about 753.8131140273.

The spelling of 428342400 in words is "four hundred twenty-eight million, three hundred forty-two thousand, four hundred".