45481920 has 224 divisors, whose sum is σ = 162397440. Its totient is φ = 10690560.

The previous prime is 45481913. The next prime is 45481921. The reversal of 45481920 is 2918454.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45481921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623004 + ... + 623076.

Almost surely, 2^45481920 is an apocalyptic number.

45481920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45481920 is the 3894-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81198720).

45481920 is an abundant number, since it is smaller than the sum of its proper divisors (116915520).

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

45481920 is a wasteful number, since it uses less digits than its factorization.

45481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45481920 is about 6744.0284696908. The cubic root of 45481920 is about 356.9545564326.

Adding to 45481920 its sum of digits (33), we get a triangular number (45481953 = T₉₅₃₇).

The spelling of 45481920 in words is "forty-five million, four hundred eighty-one thousand, nine hundred twenty".