98957430 has 192 divisors, whose sum is σ = 313709760. Its totient is φ = 22049280.

The previous prime is 98957423. The next prime is 98957437. The reversal of 98957430 is 3475989.

It is an interprime number because it is at equal distance from previous prime (98957423) and next prime (98957437).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98957437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424594 + ... + 424826.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^98957430 is an apocalyptic number.

98957430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98957430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

98957430 is an abundant number, since it is smaller than the sum of its proper divisors (214752330).

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

98957430 is a wasteful number, since it uses less digits than its factorization.

98957430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 98957430 is about 9947.7349180605. The cubic root of 98957430 is about 462.5401844802.

The spelling of 98957430 in words is "ninety-eight million, nine hundred fifty-seven thousand, four hundred thirty".