468014440 has 64 divisors (see below), whose sum is σ = 1090552320. Its totient is φ = 180576000.

The previous prime is 468014429. The next prime is 468014453. The reversal of 468014440 is 44410864.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707710 + ... + 708370.

It is an arithmetic number, because the mean of its divisors is an integer number (17039880).

Almost surely, 2^468014440 is an apocalyptic number.

468014440 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 468014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545276160).

468014440 is an abundant number, since it is smaller than the sum of its proper divisors (622537880).

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

468014440 is a wasteful number, since it uses less digits than its factorization.

468014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 468014440 is about 21633.6413948276. The cubic root of 468014440 is about 776.4015927143.

The spelling of 468014440 in words is "four hundred sixty-eight million, fourteen thousand, four hundred forty".