469751040 has 324 divisors, whose sum is σ = 1791776532. Its totient is φ = 113541120.

The previous prime is 469751039. The next prime is 469751059. The reversal of 469751040 is 40157964.

It can be written as a sum of positive squares in 2 ways, for example, as 147476736 + 322274304 = 12144^2 + 17952^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 469750986 and 469751004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393752 + ... + 1394088.

Almost surely, 2^469751040 is an apocalyptic number.

469751040 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 469751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895888266).

469751040 is an abundant number, since it is smaller than the sum of its proper divisors (1322025492).

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

469751040 is a wasteful number, since it uses less digits than its factorization.

469751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 469751040 is about 21673.7407938731. The cubic root of 469751040 is about 777.3607047045.

The spelling of 469751040 in words is "four hundred sixty-nine million, seven hundred fifty-one thousand, forty".