45211920 has 160 divisors (see below), whose sum is σ = 154906752. Its totient is φ = 10838016.

The previous prime is 45211913. The next prime is 45211927. The reversal of 45211920 is 2911254.

It is an interprime number because it is at equal distance from previous prime (45211913) and next prime (45211927).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45211927) 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, 133992 + ... + 134328.

Almost surely, 2^45211920 is an apocalyptic number.

45211920 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 45211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77453376).

45211920 is an abundant number, since it is smaller than the sum of its proper divisors (109694832).

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

45211920 is a wasteful number, since it uses less digits than its factorization.

45211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 45211920 is about 6723.9809636851. The cubic root of 45211920 is about 356.2468094513.

It can be divided in two parts, 4521 and 1920, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 45211920 in words is "forty-five million, two hundred eleven thousand, nine hundred twenty".