407301379452 has 288 divisors, whose sum is σ = 1235798753280. Its totient is φ = 116000579520.

The previous prime is 407301379369. The next prime is 407301379469. The reversal of 407301379452 is 254973103704.

It is a junction number, because it is equal to n+sod(n) for n = 407301379398 and 407301379407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25791903 + ... + 25807689.

Almost surely, 2^407301379452 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 407301379452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617899376640).

407301379452 is an abundant number, since it is smaller than the sum of its proper divisors (828497373828).

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

407301379452 is a wasteful number, since it uses less digits than its factorization.

407301379452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15963 (or 15949 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 407301379452 in words is "four hundred seven billion, three hundred one million, three hundred seventy-nine thousand, four hundred fifty-two".