445714357000 has 128 divisors (see below), whose sum is σ = 1153814388480. Its totient is φ = 159794880000.

The previous prime is 445714356943. The next prime is 445714357019. The reversal of 445714357000 is 753417544.

It is a super-2 number, since 2×445714357000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495652 + ... + 1066348.

It is an arithmetic number, because the mean of its divisors is an integer number (9014174910).

Almost surely, 2^445714357000 is an apocalyptic number.

445714357000 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 445714357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576907194240).

445714357000 is an abundant number, since it is smaller than the sum of its proper divisors (708100031480).

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

445714357000 is a wasteful number, since it uses less digits than its factorization.

445714357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570800 (or 570786 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 445714357000 in words is "four hundred forty-five billion, seven hundred fourteen million, three hundred fifty-seven thousand".