8055462400 has 240 divisors, whose sum is σ = 20867407704. Its totient is φ = 3078881280.

The previous prime is 8055462397. The next prime is 8055462403. The reversal of 8055462400 is 42645508.

It is an interprime number because it is at equal distance from previous prime (8055462397) and next prime (8055462403).

It can be written as a sum of positive squares in 12 ways, for example, as 964475136 + 7090987264 = 31056^2 + 84208^2 .

It is not an unprimeable number, because it can be changed into a prime (8055462403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34572684 + ... + 34572916.

Almost surely, 2^8055462400 is an apocalyptic number.

8055462400 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 8055462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433703852).

8055462400 is an abundant number, since it is smaller than the sum of its proper divisors (12811945304).

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

8055462400 is a wasteful number, since it uses less digits than its factorization.

8055462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 8055462400 is about 89752.2278275030. The cubic root of 8055462400 is about 2004.6112267895.

The spelling of 8055462400 in words is "eight billion, fifty-five million, four hundred sixty-two thousand, four hundred".