415274496 has 160 divisors (see below), whose sum is σ = 1362079488. Its totient is φ = 109486080.

The previous prime is 415274491. The next prime is 415274501. The reversal of 415274496 is 694472514.

It is an interprime number because it is at equal distance from previous prime (415274491) and next prime (415274501).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415274491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138291 + ... + 141261.

Almost surely, 2^415274496 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 415274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681039744).

415274496 is an abundant number, since it is smaller than the sum of its proper divisors (946804992).

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

415274496 is a wasteful number, since it uses less digits than its factorization.

415274496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2996 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 415274496 is about 20378.2849131128. The cubic root of 415274496 is about 746.0680122090.

It can be divided in two parts, 415 and 274496, that added together give a triangular number (274911 = T₇₄₁).

The spelling of 415274496 in words is "four hundred fifteen million, two hundred seventy-four thousand, four hundred ninety-six".