45498240 has 128 divisors (see below), whose sum is σ = 161200800. Its totient is φ = 12128256.

The previous prime is 45498227. The next prime is 45498247. The reversal of 45498240 is 4289454.

45498240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×45498240³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45498195 and 45498204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45498247) 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 15 ways as a sum of consecutive naturals, for example, 15964 + ... + 18596.

Almost surely, 2^45498240 is an apocalyptic number.

45498240 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 45498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80600400).

45498240 is an abundant number, since it is smaller than the sum of its proper divisors (115702560).

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

45498240 is a wasteful number, since it uses less digits than its factorization.

45498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45498240 is about 6745.2383204747. The cubic root of 45498240 is about 356.9972459360.

The spelling of 45498240 in words is "forty-five million, four hundred ninety-eight thousand, two hundred forty".