84451900 has 72 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 30915840.

The previous prime is 84451891. The next prime is 84451907. The reversal of 84451900 is 915448.

It is a happy number.

It is a super-2 number, since 2×84451900² = 14264246827220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84451907) 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, 216906 + ... + 217294.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 2^84451900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

84451900 is an abundant number, since it is smaller than the sum of its proper divisors (114597860).

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

84451900 is a wasteful number, since it uses less digits than its factorization.

84451900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 84451900 is about 9189.7714879098. The cubic root of 84451900 is about 438.7358688425.

The spelling of 84451900 in words is "eighty-four million, four hundred fifty-one thousand, nine hundred".