1451261952 has 384 divisors, whose sum is σ = 5179886400. Its totient is φ = 382205952.

The previous prime is 1451261951. The next prime is 1451261983. The reversal of 1451261952 is 2591621541.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1451261952² = 4212322506645700608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1451261951) 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, 39223278 + ... + 39223314.

Almost surely, 2^1451261952 is an apocalyptic number.

1451261952 is a gapful number since it is divisible by the number (12) 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 1451261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589943200).

1451261952 is an abundant number, since it is smaller than the sum of its proper divisors (3728624448).

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

1451261952 is an equidigital number, since it uses as much as digits as its factorization.

1451261952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1451261952 is about 38095.4321671247. The cubic root of 1451261952 is about 1132.1794552073.

The spelling of 1451261952 in words is "one billion, four hundred fifty-one million, two hundred sixty-one thousand, nine hundred fifty-two".