407261376 has 168 divisors, whose sum is σ = 1211147184. Its totient is φ = 130775040.

The previous prime is 407261363. The next prime is 407261383. The reversal of 407261376 is 673162704.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 407261376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2354026 + ... + 2354198.

Almost surely, 2^407261376 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 407261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605573592).

407261376 is an abundant number, since it is smaller than the sum of its proper divisors (803885808).

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

407261376 is a wasteful number, since it uses less digits than its factorization.

407261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 407261376 is about 20180.7179257825. The cubic root of 407261376 is about 741.2381123780.

The spelling of 407261376 in words is "four hundred seven million, two hundred sixty-one thousand, three hundred seventy-six".