97200480 has 192 divisors, whose sum is σ = 339450048. Its totient is φ = 23224320.

The previous prime is 97200479. The next prime is 97200497. The reversal of 97200480 is 8400279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230670 + ... + 231090.

It is an arithmetic number, because the mean of its divisors is an integer number (1767969).

Almost surely, 2^97200480 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 97200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169725024).

97200480 is an abundant number, since it is smaller than the sum of its proper divisors (242249568).

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

97200480 is a wasteful number, since it uses less digits than its factorization.

97200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 97200480 is about 9859.0303782877. The cubic root of 97200480 is about 459.7864162837.

It can be divided in two parts, 97200 and 480, that multiplied together give a cube (46656000 = 360³).

The spelling of 97200480 in words is "ninety-seven million, two hundred thousand, four hundred eighty".