45401300 has 72 divisors (see below), whose sum is σ = 114159360. Its totient is φ = 15350400.

The previous prime is 45401281. The next prime is 45401341. The reversal of 45401300 is 310454.

It is a super-2 number, since 2×45401300² = 4122556083380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54890 + ... + 55710.

Almost surely, 2^45401300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57079680).

45401300 is an abundant number, since it is smaller than the sum of its proper divisors (68758060).

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

45401300 is a wasteful number, since it uses less digits than its factorization.

45401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45401300 is about 6738.0486789574. The cubic root of 45401300 is about 356.7435224173.

Adding to 45401300 its reverse (310454), we get a palindrome (45711754).

The spelling of 45401300 in words is "forty-five million, four hundred one thousand, three hundred".