425282400 has 180 divisors, whose sum is σ = 1551158532. Its totient is φ = 113391360.

The previous prime is 425282383. The next prime is 425282411. The reversal of 425282400 is 4282524.

It is a happy number.

425282400 is a `hidden beast` number, since 4 + 252 + 8 + 2 + 400 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61519 + ... + 68081.

Almost surely, 2^425282400 is an apocalyptic number.

425282400 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 425282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775579266).

425282400 is an abundant number, since it is smaller than the sum of its proper divisors (1125876132).

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

425282400 is a wasteful number, since it uses less digits than its factorization.

425282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6573 counting only the distinct ones).

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

The square root of 425282400 is about 20622.3761967432. The cubic root of 425282400 is about 752.0137880375.

The spelling of 425282400 in words is "four hundred twenty-five million, two hundred eighty-two thousand, four hundred".