45153200 has 60 divisors (see below), whose sum is σ = 109323360. Its totient is φ = 17921280.

The previous prime is 45153197. The next prime is 45153221. The reversal of 45153200 is 235154.

It is a super-2 number, since 2×45153200² = 4077622940480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62441 + ... + 63159.

It is an arithmetic number, because the mean of its divisors is an integer number (1822056).

Almost surely, 2^45153200 is an apocalyptic number.

45153200 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 45153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54661680).

45153200 is an abundant number, since it is smaller than the sum of its proper divisors (64170160).

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

45153200 is a wasteful number, since it uses less digits than its factorization.

45153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45153200 is about 6719.6130840994. The cubic root of 45153200 is about 356.0925147767.

Adding to 45153200 its reverse (235154), we get a palindrome (45388354).

It can be divided in two parts, 4515 and 3200, that multiplied together give a triangular number (14448000 = T₅₃₇₅).

The spelling of 45153200 in words is "forty-five million, one hundred fifty-three thousand, two hundred".