9530492400 has 1200 divisors, whose sum is σ = 42899316768. Its totient is φ = 2007244800.

The previous prime is 9530492393. The next prime is 9530492407. The reversal of 9530492400 is 42940359.

It is an interprime number because it is at equal distance from previous prime (9530492393) and next prime (9530492407).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9530492407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 560617192 + ... + 560617208.

Almost surely, 2^9530492400 is an apocalyptic number.

9530492400 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 9530492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21449658384).

9530492400 is an abundant number, since it is smaller than the sum of its proper divisors (33368824368).

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

9530492400 is a wasteful number, since it uses less digits than its factorization.

9530492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9530492400 is about 97624.2408421187. The cubic root of 9530492400 is about 2120.1753444622.

The spelling of 9530492400 in words is "nine billion, five hundred thirty million, four hundred ninety-two thousand, four hundred".