420157440 has 288 divisors, whose sum is σ = 1502504640. Its totient is φ = 108527616.

The previous prime is 420157427. The next prime is 420157453. The reversal of 420157440 is 44751024.

It is an interprime number because it is at equal distance from previous prime (420157427) and next prime (420157453).

It is a tau number, because it is divible by the number of its divisors (288).

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, 4331472 + ... + 4331568.

It is an arithmetic number, because the mean of its divisors is an integer number (5217030).

Almost surely, 2^420157440 is an apocalyptic number.

420157440 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 420157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

420157440 is an abundant number, since it is smaller than the sum of its proper divisors (1082347200).

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

420157440 is a wasteful number, since it uses less digits than its factorization.

420157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 420157440 is about 20497.7423147038. The cubic root of 420157440 is about 748.9808022754.

It can be divided in two parts, 42015 and 7440, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 420157440 in words is "four hundred twenty million, one hundred fifty-seven thousand, four hundred forty".