424887325200 has 1440 divisors, whose sum is σ = 1756773809280. Its totient is φ = 96920064000.

The previous prime is 424887325199. The next prime is 424887325231. The reversal of 424887325200 is 2523788424.

424887325200 is a `hidden beast` number, since 4 + 2 + 48 + 87 + 3 + 2 + 520 + 0 = 666.

It is a super-2 number, since 2×424887325200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4206805150 + ... + 4206805250.

It is an arithmetic number, because the mean of its divisors is an integer number (1219981812).

Almost surely, 2^424887325200 is an apocalyptic number.

424887325200 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 424887325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878386904640).

424887325200 is an abundant number, since it is smaller than the sum of its proper divisors (1331886484080).

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

424887325200 is a wasteful number, since it uses less digits than its factorization.

424887325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 424887325200 in words is "four hundred twenty-four billion, eight hundred eighty-seven million, three hundred twenty-five thousand, two hundred".