8274470400 has 720 divisors, whose sum is σ = 35039566848. Its totient is φ = 1824768000.

The previous prime is 8274470389. The next prime is 8274470437. The reversal of 8274470400 is 40744728.

8274470400 is a `hidden beast` number, since 82 + 74 + 470 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24998235 + ... + 24998565.

Almost surely, 2^8274470400 is an apocalyptic number.

8274470400 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 8274470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519783424).

8274470400 is an abundant number, since it is smaller than the sum of its proper divisors (26765096448).

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

8274470400 is a wasteful number, since it uses less digits than its factorization.

8274470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 8274470400 is about 90964.1160018609. The cubic root of 8274470400 is about 2022.6158314627.

The spelling of 8274470400 in words is "eight billion, two hundred seventy-four million, four hundred seventy thousand, four hundred".