973490400 has 360 divisors, whose sum is σ = 3612753144. Its totient is φ = 255052800.

The previous prime is 973490311. The next prime is 973490423. The reversal of 973490400 is 4094379.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5378310 + ... + 5378490.

Almost surely, 2^973490400 is an apocalyptic number.

973490400 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 973490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806376572).

973490400 is an abundant number, since it is smaller than the sum of its proper divisors (2639262744).

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

973490400 is a wasteful number, since it uses less digits than its factorization.

973490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973490400 is about 31200.8076818534. The cubic root of 973490400 is about 991.0842116268.

The spelling of 973490400 in words is "nine hundred seventy-three million, four hundred ninety thousand, four hundred".