428252400 has 240 divisors, whose sum is σ = 1605254400. Its totient is φ = 108138240.

The previous prime is 428252399. The next prime is 428252401. The reversal of 428252400 is 4252824.

It is a happy number.

428252400 is a `hidden beast` number, since 4 + 2 + 8 + 252 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (428252399) and next prime (428252401).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428252401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204157 + ... + 206243.

It is an arithmetic number, because the mean of its divisors is an integer number (6688560).

Almost surely, 2^428252400 is an apocalyptic number.

428252400 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 428252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802627200).

428252400 is an abundant number, since it is smaller than the sum of its proper divisors (1177002000).

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

428252400 is a wasteful number, since it uses less digits than its factorization.

428252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428252400 is about 20694.2600737499. The cubic root of 428252400 is about 753.7603151976.

The spelling of 428252400 in words is "four hundred twenty-eight million, two hundred fifty-two thousand, four hundred".