453938760 has 288 divisors, whose sum is σ = 1719801720. Its totient is φ = 103403520.

The previous prime is 453938729. The next prime is 453938791. The reversal of 453938760 is 67839354.

It is an interprime number because it is at equal distance from previous prime (453938729) and next prime (453938791).

It can be written as a sum of positive squares in 4 ways, for example, as 274432356 + 179506404 = 16566^2 + 13398^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740214 + ... + 740826.

Almost surely, 2^453938760 is an apocalyptic number.

453938760 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 453938760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859900860).

453938760 is an abundant number, since it is smaller than the sum of its proper divisors (1265862960).

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

453938760 is a wasteful number, since it uses less digits than its factorization.

453938760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 453938760 is about 21305.8386363926. The cubic root of 453938760 is about 768.5387252048.

The spelling of 453938760 in words is "four hundred fifty-three million, nine hundred thirty-eight thousand, seven hundred sixty".