97280492400 has 1440 divisors, whose sum is σ = 444614876160. Its totient is φ = 19670169600.

The previous prime is 97280492377. The next prime is 97280492429. The reversal of 97280492400 is 429408279.

97280492400 is a `hidden beast` number, since 97 + 280 + 49 + 240 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 944470749 + ... + 944470851.

Almost surely, 2^97280492400 is an apocalyptic number.

97280492400 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 97280492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222307438080).

97280492400 is an abundant number, since it is smaller than the sum of its proper divisors (347334383760).

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

97280492400 is a wasteful number, since it uses less digits than its factorization.

97280492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 97280492400 in words is "ninety-seven billion, two hundred eighty million, four hundred ninety-two thousand, four hundred".