970511400 has 144 divisors (see below), whose sum is σ = 3290414400. Its totient is φ = 256333440.

The previous prime is 970511359. The next prime is 970511401. The reversal of 970511400 is 4115079.

It is not an unprimeable number, because it can be changed into a prime (970511401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190081 + ... + 195119.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^970511400 is an apocalyptic number.

970511400 is a gapful number since it is divisible by the number (90) 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 970511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645207200).

970511400 is an abundant number, since it is smaller than the sum of its proper divisors (2319903000).

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

970511400 is a wasteful number, since it uses less digits than its factorization.

970511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 970511400 is about 31153.0319551725. The cubic root of 970511400 is about 990.0722322565.

Adding to 970511400 its reverse (4115079), we get a palindrome (974626479).

The spelling of 970511400 in words is "nine hundred seventy million, five hundred eleven thousand, four hundred".