1453263948 has 72 divisors (see below), whose sum is σ = 3860704848. Its totient is φ = 460349568.

The previous prime is 1453263941. The next prime is 1453263949. The reversal of 1453263948 is 8493623541.

1453263948 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 639 + 4 + 8 = 666.

It is a super-2 number, since 2×1453263948² = 4223952205113093408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1453263941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44590 + ... + 69962.

Almost surely, 2^1453263948 is an apocalyptic number.

1453263948 is a gapful number since it is divisible by the number (18) 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 1453263948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930352424).

1453263948 is an abundant number, since it is smaller than the sum of its proper divisors (2407440900).

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

1453263948 is a wasteful number, since it uses less digits than its factorization.

1453263948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25463 (or 25458 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1453263948 is about 38121.6991751417. The cubic root of 1453263948 is about 1132.6998246874.

The spelling of 1453263948 in words is "one billion, four hundred fifty-three million, two hundred sixty-three thousand, nine hundred forty-eight".