149406400 has 168 divisors, whose sum is σ = 432566064. Its totient is φ = 50073600.

The previous prime is 149406379. The next prime is 149406403. The reversal of 149406400 is 4604941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149406403) 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, 228474 + ... + 229126.

It is an arithmetic number, because the mean of its divisors is an integer number (2574798).

Almost surely, 2^149406400 is an apocalyptic number.

149406400 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 149406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216283032).

149406400 is an abundant number, since it is smaller than the sum of its proper divisors (283159664).

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

149406400 is a wasteful number, since it uses less digits than its factorization.

149406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 149406400 is about 12223.1910727109. The cubic root of 149406400 is about 530.6274756486.

The spelling of 149406400 in words is "one hundred forty-nine million, four hundred six thousand, four hundred".