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497034720 = 253257133793
BaseRepresentation
bin11101101000000…
…010010111100000
31021122020222110100
4131220002113200
52004220102340
6121153102400
715213503550
oct3550022740
91248228410
10497034720
112356215a6
1211a557a00
137bc874b0
144a023160
152d97e830
hex1da025e0

497034720 has 288 divisors, whose sum is σ = 2088096192. Its totient is φ = 104841216.

The previous prime is 497034701. The next prime is 497034731. The reversal of 497034720 is 27430794.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129144 + ... + 132936.

It is an arithmetic number, because the mean of its divisors is an integer number (7250334).

Almost surely, 2497034720 is an apocalyptic number.

497034720 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 497034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044048096).

497034720 is an abundant number, since it is smaller than the sum of its proper divisors (1591061472).

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

497034720 is a wasteful number, since it uses less digits than its factorization.

497034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 497034720 is about 22294.2754984323. The cubic root of 497034720 is about 792.1283844523.

The spelling of 497034720 in words is "four hundred ninety-seven million, thirty-four thousand, seven hundred twenty".