970460400 has 240 divisors, whose sum is σ = 3826532864. Its totient is φ = 204733440.

The previous prime is 970460399. The next prime is 970460401. The reversal of 970460400 is 4064079.

It is an interprime number because it is at equal distance from previous prime (970460399) and next prime (970460401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970460401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104757 + ... + 113643.

Almost surely, 2^970460400 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 970460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913266432).

970460400 is an abundant number, since it is smaller than the sum of its proper divisors (2856072464).

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

970460400 is a wasteful number, since it uses less digits than its factorization.

970460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 970460400 is about 31152.2134045079. The cubic root of 970460400 is about 990.0548893146.

The spelling of 970460400 in words is "nine hundred seventy million, four hundred sixty thousand, four hundred".