920428449600 has 336 divisors, whose sum is σ = 3295876746816. Its totient is φ = 223027200000.

The previous prime is 920428449599. The next prime is 920428449659. The reversal of 920428449600 is 6944824029.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 920428449600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211250622 + ... + 211254978.

Almost surely, 2^920428449600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920428449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647938373408).

920428449600 is an abundant number, since it is smaller than the sum of its proper divisors (2375448297216).

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

920428449600 is a wasteful number, since it uses less digits than its factorization.

920428449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 920428449600 in words is "nine hundred twenty billion, four hundred twenty-eight million, four hundred forty-nine thousand, six hundred".