497078400 has 384 divisors, whose sum is σ = 2018620800. Its totient is φ = 104693760.

The previous prime is 497078377. The next prime is 497078401. The reversal of 497078400 is 4870794.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497078401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873316 + ... + 873884.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^497078400 is an apocalyptic number.

497078400 is a gapful number since it is divisible by the number (40) 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 497078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009310400).

497078400 is an abundant number, since it is smaller than the sum of its proper divisors (1521542400).

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

497078400 is a wasteful number, since it uses less digits than its factorization.

497078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 497078400 is about 22295.2551005814. The cubic root of 497078400 is about 792.1515881662.

The spelling of 497078400 in words is "four hundred ninety-seven million, seventy-eight thousand, four hundred".