45419400 has 192 divisors, whose sum is σ = 168739200. Its totient is φ = 11162880.

The previous prime is 45419399. The next prime is 45419449. The reversal of 45419400 is 491454.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69877 + ... + 70523.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^45419400 is an apocalyptic number.

45419400 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 45419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

45419400 is an abundant number, since it is smaller than the sum of its proper divisors (123319800).

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

45419400 is a wasteful number, since it uses less digits than its factorization.

45419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

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

The square root of 45419400 is about 6739.3916639412. The cubic root of 45419400 is about 356.7909234086.

The spelling of 45419400 in words is "forty-five million, four hundred nineteen thousand, four hundred".