8355299400 has 576 divisors, whose sum is σ = 35759318400. Its totient is φ = 1702010880.

The previous prime is 8355299347. The next prime is 8355299429. The reversal of 8355299400 is 49925538.

8355299400 is a `hidden beast` number, since 8 + 3 + 552 + 9 + 94 + 0 + 0 = 666.

It is a super-2 number, since 2×8355299400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 4068774 + ... + 4070826.

It is an arithmetic number, because the mean of its divisors is an integer number (62082150).

Almost surely, 2^8355299400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8355299400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879659200).

8355299400 is an abundant number, since it is smaller than the sum of its proper divisors (27404019000).

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

8355299400 is a wasteful number, since it uses less digits than its factorization.

8355299400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 8355299400 is about 91407.3268398108. The cubic root of 8355299400 is about 2029.1804630265.

The spelling of 8355299400 in words is "eight billion, three hundred fifty-five million, two hundred ninety-nine thousand, four hundred".