1451342464 has 128 divisors (see below), whose sum is σ = 3490260480. Its totient is φ = 592220160.

The previous prime is 1451342449. The next prime is 1451342467. The reversal of 1451342464 is 4642431541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1451342464³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1451342467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676177 + ... + 678319.

It is an arithmetic number, because the mean of its divisors is an integer number (27267660).

Almost surely, 2^1451342464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745130240).

1451342464 is an abundant number, since it is smaller than the sum of its proper divisors (2038918016).

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

1451342464 is a wasteful number, since it uses less digits than its factorization.

1451342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2206 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 1451342464 is about 38096.4888670859. The cubic root of 1451342464 is about 1132.2003915487.

The spelling of 1451342464 in words is "one billion, four hundred fifty-one million, three hundred forty-two thousand, four hundred sixty-four".