497629440 has 864 divisors, whose sum is σ = 2348801280. Its totient is φ = 97320960.

The previous prime is 497629427. The next prime is 497629471. The reversal of 497629440 is 44926794.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 29272312 + ... + 29272328.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^497629440 is an apocalyptic number.

497629440 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 497629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

497629440 is an abundant number, since it is smaller than the sum of its proper divisors (1851171840).

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

497629440 is a wasteful number, since it uses less digits than its factorization.

497629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 497629440 is about 22307.6094640372. The cubic root of 497629440 is about 792.4441952698. Note that the first 3 decimals are identical.

The spelling of 497629440 in words is "four hundred ninety-seven million, six hundred twenty-nine thousand, four hundred forty".