407373948 has 42 divisors (see below), whose sum is σ = 1068875304. Its totient is φ = 135790344.

The previous prime is 407373929. The next prime is 407373949. The reversal of 407373948 is 849373704.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407373949) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 66936 + ... + 72767.

It is an arithmetic number, because the mean of its divisors is an integer number (25449412).

Almost surely, 2^407373948 is an apocalyptic number.

It is an amenable number.

407373948 is an abundant number, since it is smaller than the sum of its proper divisors (661501356).

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

407373948 is a wasteful number, since it uses less digits than its factorization.

407373948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139725 (or 139708 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 407373948 is about 20183.5068310737. The cubic root of 407373948 is about 741.3064018310.

It can be divided in two parts, 407373 and 948, that added together give a square (408321 = 639²).

The spelling of 407373948 in words is "four hundred seven million, three hundred seventy-three thousand, nine hundred forty-eight".