149408400 has 120 divisors (see below), whose sum is σ = 503871520. Its totient is φ = 37739520.

The previous prime is 149408323. The next prime is 149408407. The reversal of 149408400 is 4804941.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149408407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19524 + ... + 26076.

Almost surely, 2^149408400 is an apocalyptic number.

149408400 is a gapful number since it is divisible by the number (10) 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 149408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251935760).

149408400 is an abundant number, since it is smaller than the sum of its proper divisors (354463120).

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

149408400 is a wasteful number, since it uses less digits than its factorization.

149408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 149408400 is about 12223.2728841338. The cubic root of 149408400 is about 530.6298433522.

The spelling of 149408400 in words is "one hundred forty-nine million, four hundred eight thousand, four hundred".