99414000 has 320 divisors, whose sum is σ = 408545280. Its totient is φ = 22636800.

The previous prime is 99413999. The next prime is 99414017. The reversal of 99414000 is 41499.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377869 + ... + 378131.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^99414000 is an apocalyptic number.

99414000 is a gapful number since it is divisible by the number (90) 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 99414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

99414000 is an abundant number, since it is smaller than the sum of its proper divisors (309131280).

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

99414000 is a wasteful number, since it uses less digits than its factorization.

99414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 99414000 is about 9970.6569492687. The cubic root of 99414000 is about 463.2504495508.

Adding to 99414000 its reverse (41499), we get a palindrome (99455499).

The spelling of 99414000 in words is "ninety-nine million, four hundred fourteen thousand".