8401285200 has 720 divisors, whose sum is σ = 35337738240. Its totient is φ = 1685376000.

The previous prime is 8401285183. The next prime is 8401285223. The reversal of 8401285200 is 25821048.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 20050591 + ... + 20051009.

It is an arithmetic number, because the mean of its divisors is an integer number (49080192).

Almost surely, 2^8401285200 is an apocalyptic number.

8401285200 is a gapful number since it is divisible by the number (80) 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 8401285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17668869120).

8401285200 is an abundant number, since it is smaller than the sum of its proper divisors (26936453040).

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

8401285200 is a wasteful number, since it uses less digits than its factorization.

8401285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8401285200 is about 91658.5249717668. The cubic root of 8401285200 is about 2032.8963807713.

The spelling of 8401285200 in words is "eight billion, four hundred one million, two hundred eighty-five thousand, two hundred".