1972464 has 80 divisors (see below), whose sum is σ = 5728800. Its totient is φ = 580608.

The previous prime is 1972441. The next prime is 1972471. The reversal of 1972464 is 4642791.

It is a happy number.

It is a super-2 number, since 2×1972464² = 7781228462592, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 18042 + ... + 18150.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

2^1972464 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 1972464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864400).

1972464 is an abundant number, since it is smaller than the sum of its proper divisors (3756336).

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

1972464 is a wasteful number, since it uses less digits than its factorization.

1972464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1972464 is about 1404.4443741210. Note that the first 3 decimals coincide. The cubic root of 1972464 is about 125.4112110934.

The spelling of 1972464 in words is "one million, nine hundred seventy-two thousand, four hundred sixty-four".