1464967140 has 192 divisors, whose sum is σ = 5120962560. Its totient is φ = 304657920.

The previous prime is 1464967123. The next prime is 1464967151. The reversal of 1464967140 is 417694641.

It is a super-2 number, since 2×1464967140² = 4292257442559559200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1464967092 and 1464967101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385771 + ... + 389549.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 2^1464967140 is an apocalyptic number.

1464967140 is a gapful number since it is divisible by the number (10) 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 1464967140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560481280).

1464967140 is an abundant number, since it is smaller than the sum of its proper divisors (3655995420).

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

1464967140 is a wasteful number, since it uses less digits than its factorization.

1464967140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1464967140 is about 38274.8891572530. The cubic root of 1464967140 is about 1135.7322579106.

The spelling of 1464967140 in words is "one billion, four hundred sixty-four million, nine hundred sixty-seven thousand, one hundred forty".