815054400 has 420 divisors, whose sum is σ = 3163143280. Its totient is φ = 205286400.

The previous prime is 815054399. The next prime is 815054407. The reversal of 815054400 is 4450518.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (815054407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462235 + ... + 2462565.

Almost surely, 2^815054400 is an apocalyptic number.

815054400 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 815054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581571640).

815054400 is an abundant number, since it is smaller than the sum of its proper divisors (2348088880).

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

815054400 is a wasteful number, since it uses less digits than its factorization.

815054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 815054400 is about 28549.1576057858. The cubic root of 815054400 is about 934.1046458536.

It can be divided in two parts, 81505 and 4400, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 815054400 in words is "eight hundred fifteen million, fifty-four thousand, four hundred".