469746720 has 288 divisors, whose sum is σ = 1754887680. Its totient is φ = 113909760.

The previous prime is 469746713. The next prime is 469746769. The reversal of 469746720 is 27647964.

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 (45).

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, 758571 + ... + 759189.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^469746720 is an apocalyptic number.

469746720 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 469746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

469746720 is an abundant number, since it is smaller than the sum of its proper divisors (1285140960).

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

469746720 is a wasteful number, since it uses less digits than its factorization.

469746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 469746720 is about 21673.6411338750. The cubic root of 469746720 is about 777.3583217340.

The spelling of 469746720 in words is "four hundred sixty-nine million, seven hundred forty-six thousand, seven hundred twenty".