45278352 has 300 divisors, whose sum is σ = 164203776. Its totient is φ = 11975040.

The previous prime is 45278351. The next prime is 45278369. The reversal of 45278352 is 25387254.

45278352 is a `hidden beast` number, since 4 + 527 + 83 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45278351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1460577 + ... + 1460607.

Almost surely, 2^45278352 is an apocalyptic number.

45278352 is a gapful number since it is divisible by the number (42) 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 45278352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101888).

45278352 is an abundant number, since it is smaller than the sum of its proper divisors (118925424).

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

45278352 is a wasteful number, since it uses less digits than its factorization.

45278352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 45278352 is about 6728.9190811006. The cubic root of 45278352 is about 356.4212074582.

The spelling of 45278352 in words is "forty-five million, two hundred seventy-eight thousand, three hundred fifty-two".