453340268594400 has 1152 divisors, whose sum is σ = 1717106298163200. Its totient is φ = 102669742080000.

The previous prime is 453340268594377. The next prime is 453340268594441. The reversal of 453340268594400 is 4495862043354.

It is a super-2 number, since 2×453340268594400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142246709607 + ... + 142246712793.

It is an arithmetic number, because the mean of its divisors is an integer number (1490543661600).

Almost surely, 2^{453340268594400} is an apocalyptic number.

453340268594400 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 453340268594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858553149081600).

453340268594400 is an abundant number, since it is smaller than the sum of its proper divisors (1263766029568800).

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

453340268594400 is a wasteful number, since it uses less digits than its factorization.

453340268594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 57.

The spelling of 453340268594400 in words is "four hundred fifty-three trillion, three hundred forty billion, two hundred sixty-eight million, five hundred ninety-four thousand, four hundred".