434274048 has 252 divisors, whose sum is σ = 1407477960. Its totient is φ = 132876288.

The previous prime is 434274023. The next prime is 434274053. The reversal of 434274048 is 840472434.

It is a happy number.

It is a super-3 number, since 3×434274048³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426023 + ... + 2426201.

It is an arithmetic number, because the mean of its divisors is an integer number (5585230).

Almost surely, 2^434274048 is an apocalyptic number.

434274048 is a gapful number since it is divisible by the number (48) 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 434274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703738980).

434274048 is an abundant number, since it is smaller than the sum of its proper divisors (973203912).

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

434274048 is an equidigital number, since it uses as much as digits as its factorization.

434274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 434274048 is about 20839.2429804924. The cubic root of 434274048 is about 757.2767541324.

The spelling of 434274048 in words is "four hundred thirty-four million, two hundred seventy-four thousand, forty-eight".