84262478400 has 567 divisors, whose sum is σ = 312262599883. Its totient is φ = 21550387200.

The previous prime is 84262478371. The next prime is 84262478423. The reversal of 84262478400 is 487426248.

The square root of 84262478400 is 290280.

It is a perfect power (a square), and thus also a powerful number.

84262478400 is a `hidden beast` number, since 84 + 2 + 62 + 478 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35467435584 + 48795042816 = 188328^2 + 220896^2 .

It is a super-2 number, since 2×84262478400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1428177571 + ... + 1428177629.

Almost surely, 2^84262478400 is an apocalyptic number.

84262478400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84262478400 is the 290280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84262478400

84262478400 is an abundant number, since it is smaller than the sum of its proper divisors (228000121483).

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

84262478400 is a wasteful number, since it uses less digits than its factorization.

84262478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 84262478400 in words is "eighty-four billion, two hundred sixty-two million, four hundred seventy-eight thousand, four hundred".