452687040 has 336 divisors, whose sum is σ = 1707477408. Its totient is φ = 109412352.

The previous prime is 452687009. The next prime is 452687057. The reversal of 452687040 is 40786254.

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 = 452686986 and 452687004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4006024 + ... + 4006136.

It is an arithmetic number, because the mean of its divisors is an integer number (5081778).

Almost surely, 2^452687040 is an apocalyptic number.

452687040 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 452687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704).

452687040 is an abundant number, since it is smaller than the sum of its proper divisors (1254790368).

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

452687040 is a wasteful number, since it uses less digits than its factorization.

452687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 452687040 is about 21276.4433117944. The cubic root of 452687040 is about 767.8316688368.

The spelling of 452687040 in words is "four hundred fifty-two million, six hundred eighty-seven thousand, forty".