84478464 has 240 divisors, whose sum is σ = 291939648. Its totient is φ = 23887872.

The previous prime is 84478463. The next prime is 84478469. The reversal of 84478464 is 46487448.

It is a super-2 number, since 2×84478464² = 14273221759598592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84478463) 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, 870864 + ... + 870960.

Almost surely, 2^84478464 is an apocalyptic number.

84478464 is a gapful number since it is divisible by the number (84) 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 84478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145969824).

84478464 is an abundant number, since it is smaller than the sum of its proper divisors (207461184).

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

84478464 is an frugal number, since it uses more digits than its factorization.

84478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

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

The square root of 84478464 is about 9191.2166768062. The cubic root of 84478464 is about 438.7818648783.

The spelling of 84478464 in words is "eighty-four million, four hundred seventy-eight thousand, four hundred sixty-four".