972401850 has 144 divisors (see below), whose sum is σ = 3002807808. Its totient is φ = 220993920.

The previous prime is 972401849. The next prime is 972401851. The reversal of 972401850 is 58104279.

It is an interprime number because it is at equal distance from previous prime (972401849) and next prime (972401851).

It is not an unprimeable number, because it can be changed into a prime (972401851) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 619767 + ... + 621333.

It is an arithmetic number, because the mean of its divisors is an integer number (20852832).

Almost surely, 2^972401850 is an apocalyptic number.

972401850 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 972401850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

972401850 is an abundant number, since it is smaller than the sum of its proper divisors (2030405958).

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

972401850 is a wasteful number, since it uses less digits than its factorization.

972401850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 972401850 is about 31183.3585426586. The cubic root of 972401850 is about 990.7146660934.

The spelling of 972401850 in words is "nine hundred seventy-two million, four hundred one thousand, eight hundred fifty".