45149400 has 144 divisors (see below), whose sum is σ = 157411800. Its totient is φ = 12026880.

The previous prime is 45149381. The next prime is 45149407. The reversal of 45149400 is 494154.

45149400 = T₁₈₈₈ + T₁₈₈₉ + ... + T₁₉₁₂.

45149400 = 116² + 117² + ... + 515².

45149400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45149407) 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 35 ways as a sum of consecutive naturals, for example, 48136 + ... + 49064.

Almost surely, 2^45149400 is an apocalyptic number.

45149400 is a gapful number since it is divisible by the number (40) 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 45149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78705900).

45149400 is an abundant number, since it is smaller than the sum of its proper divisors (112262400).

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

45149400 is a wasteful number, since it uses less digits than its factorization.

45149400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45149400 is about 6719.3303237748. The cubic root of 45149400 is about 356.0825251597.

The spelling of 45149400 in words is "forty-five million, one hundred forty-nine thousand, four hundred".