973457400 has 192 divisors, whose sum is σ = 3364070400. Its totient is φ = 231413760.

The previous prime is 973457399. The next prime is 973457423. The reversal of 973457400 is 4754379.

It is a super-2 number, since 2×973457400² = 1895238619229520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191289 + ... + 196311.

It is an arithmetic number, because the mean of its divisors is an integer number (17521200).

Almost surely, 2^973457400 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 973457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682035200).

973457400 is an abundant number, since it is smaller than the sum of its proper divisors (2390613000).

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

973457400 is a wasteful number, since it uses less digits than its factorization.

973457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 973457400 is about 31200.2788449078. The cubic root of 973457400 is about 991.0730126982.

The spelling of 973457400 in words is "nine hundred seventy-three million, four hundred fifty-seven thousand, four hundred".