920754009450 has 264 divisors, whose sum is σ = 2802523412736. Its totient is φ = 223205220000.

The previous prime is 920754009449. The next prime is 920754009451. The reversal of 920754009450 is 54900457029.

920754009450 is a `hidden beast` number, since 92 + 0 + 75 + 40 + 0 + 9 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (920754009449) and next prime (920754009451).

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

It is a junction number, because it is equal to n+sod(n) for n = 920754009396 and 920754009405.

It is not an unprimeable number, because it can be changed into a prime (920754009451) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 32462775 + ... + 32491125.

Almost surely, 2^920754009450 is an apocalyptic number.

920754009450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920754009450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401261706368).

920754009450 is an abundant number, since it is smaller than the sum of its proper divisors (1881769403286).

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

920754009450 is a wasteful number, since it uses less digits than its factorization.

920754009450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28404 (or 28372 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 920754009450 in words is "nine hundred twenty billion, seven hundred fifty-four million, nine thousand, four hundred fifty".