1407264 has 48 divisors (see below), whose sum is σ = 3755808. Its totient is φ = 461312.

The previous prime is 1407257. The next prime is 1407271. The reversal of 1407264 is 4627041.

It is an interprime number because it is at equal distance from previous prime (1407257) and next prime (1407271).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10204 + ... + 10340.

It is an arithmetic number, because the mean of its divisors is an integer number (78246).

2^1407264 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 1407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877904).

1407264 is an abundant number, since it is smaller than the sum of its proper divisors (2348544).

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

1407264 is a wasteful number, since it uses less digits than its factorization.

1407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1407264 is about 1186.2815854594. The cubic root of 1407264 is about 112.0620404574.

The spelling of 1407264 in words is "one million, four hundred seven thousand, two hundred sixty-four".