407197440 has 216 divisors, whose sum is σ = 1517792640. Its totient is φ = 100196352.

The previous prime is 407197429. The next prime is 407197471. The reversal of 407197440 is 44791704.

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

It is a junction number, because it is equal to n+sod(n) for n = 407197395 and 407197404.

It is a congruent number.

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, 148401 + ... + 151119.

Almost surely, 2^407197440 is an apocalyptic number.

407197440 is a gapful number since it is divisible by the number (40) 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 407197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758896320).

407197440 is an abundant number, since it is smaller than the sum of its proper divisors (1110595200).

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

407197440 is a wasteful number, since it uses less digits than its factorization.

407197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 407197440 is about 20179.1337772462. The cubic root of 407197440 is about 741.1993213354.

The spelling of 407197440 in words is "four hundred seven million, one hundred ninety-seven thousand, four hundred forty".