428396400 has 180 divisors, whose sum is σ = 1499959552. Its totient is φ = 113218560.

The previous prime is 428396393. The next prime is 428396407. The reversal of 428396400 is 4693824.

It is a happy number.

428396400 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 9 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (428396393) and next prime (428396407).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428396407) 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, 456732 + ... + 457668.

Almost surely, 2^428396400 is an apocalyptic number.

428396400 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 428396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749979776).

428396400 is an abundant number, since it is smaller than the sum of its proper divisors (1071563152).

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

428396400 is a wasteful number, since it uses less digits than its factorization.

428396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 428396400 is about 20697.7390069544. The cubic root of 428396400 is about 753.8447897753.

The spelling of 428396400 in words is "four hundred twenty-eight million, three hundred ninety-six thousand, four hundred".