45254000 has 160 divisors (see below), whose sum is σ = 127438272. Its totient is φ = 15488000.

The previous prime is 45253987. The next prime is 45254021. The reversal of 45254000 is 45254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 2661992 + ... + 2662008.

Almost surely, 2^45254000 is an apocalyptic number.

45254000 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 45254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63719136).

45254000 is an abundant number, since it is smaller than the sum of its proper divisors (82184272).

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

45254000 is a wasteful number, since it uses less digits than its factorization.

45254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45254000 is about 6727.1093346251. The cubic root of 45254000 is about 356.3572981405.

Adding to 45254000 its reverse (45254), we get a palindrome (45299254).

45254000 divided by its reverse (45254) gives a cube (1000 = 10³).

The spelling of 45254000 in words is "forty-five million, two hundred fifty-four thousand".