497764004400 has 720 divisors, whose sum is σ = 1919550849216. Its totient is φ = 118653050880.

The previous prime is 497764004369. The next prime is 497764004449. The reversal of 497764004400 is 4400467794.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455410254 + ... + 455411346.

Almost surely, 2^497764004400 is an apocalyptic number.

497764004400 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 497764004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959775424608).

497764004400 is an abundant number, since it is smaller than the sum of its proper divisors (1421786844816).

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

497764004400 is a wasteful number, since it uses less digits than its factorization.

497764004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 497764004400 in words is "four hundred ninety-seven billion, seven hundred sixty-four million, four thousand, four hundred".