452671014206400 has 672 divisors, whose sum is σ = 1622917687953408. Its totient is φ = 109551188275200.

The previous prime is 452671014206339. The next prime is 452671014206401. The reversal of 452671014206400 is 4602410176254.

It is a super-2 number, since 2×452671014206400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452671014206401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143114451219 + ... + 143114454381.

It is an arithmetic number, because the mean of its divisors is an integer number (2415056083264).

Almost surely, 2^{452671014206400} is an apocalyptic number.

452671014206400 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 452671014206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811458843976704).

452671014206400 is an abundant number, since it is smaller than the sum of its proper divisors (1170246673747008).

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

452671014206400 is a wasteful number, since it uses less digits than its factorization.

452671014206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 452671014206400 in words is "four hundred fifty-two trillion, six hundred seventy-one billion, fourteen million, two hundred six thousand, four hundred".