425480947200 has 1440 divisors, whose sum is σ = 1683046965600. Its totient is φ = 106274488320.

The previous prime is 425480947189. The next prime is 425480947211. The reversal of 425480947200 is 2749084524.

425480947200 is a `hidden beast` number, since 42 + 548 + 0 + 9 + 47 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (425480947189) and next prime (425480947211).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4780684756 + ... + 4780684844.

It is an arithmetic number, because the mean of its divisors is an integer number (1168782615).

Almost surely, 2^425480947200 is an apocalyptic number.

425480947200 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 425480947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841523482800).

425480947200 is an abundant number, since it is smaller than the sum of its proper divisors (1257566018400).

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

425480947200 is an equidigital number, since it uses as much as digits as its factorization.

425480947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 425480947200 in words is "four hundred twenty-five billion, four hundred eighty million, nine hundred forty-seven thousand, two hundred".