452472480 has 120 divisors (see below), whose sum is σ = 1596896532. Its totient is φ = 120655872.

The previous prime is 452472473. The next prime is 452472509. The reversal of 452472480 is 84274254.

It can be written as a sum of positive squares in 2 ways, for example, as 449609616 + 2862864 = 21204^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4497 + ... + 30416.

Almost surely, 2^452472480 is an apocalyptic number.

452472480 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 452472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798448266).

452472480 is an abundant number, since it is smaller than the sum of its proper divisors (1144424052).

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

452472480 is a wasteful number, since it uses less digits than its factorization.

452472480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34940 (or 34923 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 452472480 is about 21271.4005180665. The cubic root of 452472480 is about 767.7103399839.

The spelling of 452472480 in words is "four hundred fifty-two million, four hundred seventy-two thousand, four hundred eighty".