9496958400 has 420 divisors, whose sum is σ = 35244275968. Its totient is φ = 2508226560.

The previous prime is 9496958389. The next prime is 9496958437. The reversal of 9496958400 is 48596949.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16458912 + ... + 16459488.

Almost surely, 2^9496958400 is an apocalyptic number.

9496958400 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 9496958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622137984).

9496958400 is an abundant number, since it is smaller than the sum of its proper divisors (25747317568).

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

9496958400 is a wasteful number, since it uses less digits than its factorization.

9496958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9496958400 is about 97452.3391202079. The cubic root of 9496958400 is about 2117.6857385092.

The spelling of 9496958400 in words is "nine billion, four hundred ninety-six million, nine hundred fifty-eight thousand, four hundred".